Budylin, A. M.; Buslaev, V. S. Quasi-classical asymptotics of solutions to the matrix factorization problem with quadratically oscillating off-diagonal elements. (English. Russian original) Zbl 1307.35179 Funct. Anal. Appl. 48, No. 1, 1-14 (2014); translation from Funkts. Anal. Prilozh. 48, No. 1, 1-18 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 35Q55 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 48, No. 1, 1--14 (2014; Zbl 1307.35179); translation from Funkts. Anal. Prilozh. 48, No. 1, 1--18 (2014) Full Text: DOI OpenURL
Buslaev, V. S.; Levin, S. B. A system of three three-dimensional charged quantum particles: asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. (English. Russian original) Zbl 1272.81185 Funct. Anal. Appl. 46, No. 2, 147-151 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 83-88 (2012). MSC: 81U10 81Q10 35P20 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, Funct. Anal. Appl. 46, No. 2, 147--151 (2012; Zbl 1272.81185); translation from Funkts. Anal. Prilozh. 46, No. 2, 83--88 (2012) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B. Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II: Charged one-dimensional particles. (English. Russian original) Zbl 1219.81235 St. Petersbg. Math. J. 22, No. 3, 379-392 (2011); translation from Algebra Anal. 2010, No. 3, 60-79 (2010). MSC: 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, St. Petersbg. Math. J. 22, No. 3, 379--392 (2011; Zbl 1219.81235); translation from Algebra Anal. 2010, No. 3, 60--79 (2010) Full Text: DOI OpenURL
Buslaev, V. S.; Pozharskii, A. A. Homogenization in the scattering problem. (English. Russian original) Zbl 1271.35058 Funct. Anal. Appl. 44, No. 4, 243-252 (2010); translation from Funkts. Anal. Prilozh. 44, No. 4, 2-13 (2010). MSC: 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Pozharskii}, Funct. Anal. Appl. 44, No. 4, 243--252 (2010; Zbl 1271.35058); translation from Funkts. Anal. Prilozh. 44, No. 4, 2--13 (2010) Full Text: DOI OpenURL
Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R. Mikhail Shlemovich Birman (obituary). (English. Russian original) Zbl 1219.01025 Russ. Math. Surv. 65, No. 3, 569-575 (2010); translation from Uspekhi Mat. Nauk. 65, No. 3, 185-190 (2010). MSC: 01A70 PDF BibTeX XML Cite \textit{V. M. Babich} et al., Russ. Math. Surv. 65, No. 3, 569--575 (2010; Zbl 1219.01025); translation from Uspekhi Mat. Nauk. 65, No. 3, 185--190 (2010) Full Text: DOI OpenURL
Buslaev, Vladimir; Pushnitski, Alexander The scattering matrix and associated formulas in Hamiltonian mechanics. (English) Zbl 1218.37072 Commun. Math. Phys. 293, No. 2, 563-588 (2010). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 37J05 37J10 34L25 35P25 81U20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Pushnitski}, Commun. Math. Phys. 293, No. 2, 563--588 (2010; Zbl 1218.37072) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B.; Neittaanmäki, P.; Ojala, T. New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator. I: One-dimensional particles, short-range pair potentials. (English) Zbl 1193.81111 J. Phys. A, Math. Theor. 43, No. 28, Article ID 285205, 17 p. (2010). MSC: 81U10 34L25 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., J. Phys. A, Math. Theor. 43, No. 28, Article ID 285205, 17 p. (2010; Zbl 1193.81111) Full Text: DOI arXiv OpenURL
Buslaev, V. S.; Levin, S. B. Uniform asymptotics of eigenfunctions for the three-body Schrödinger operator in one-dimensional case. (English) Zbl 1180.81132 Møller, Jacob S. (ed.) et al., Quantum few-body systems. Proceedings of the joint physics/mathematics workshop on quantum few-body systems, Aarhus, Denmark, 19–20 March 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0517-2/hbk). AIP Conference Proceedings 998, 101-112 (2008). MSC: 81U10 81Q05 70F07 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, AIP Conf. Proc. 998, 101--112 (2008; Zbl 1180.81132) OpenURL
Buslaev, V. S.; Levin, S. B. Asymptotic behavior of the eigenfunctions of the many-particle Schrödinger operator. I: One-dimensional particles. (English) Zbl 1160.81476 Suslina, T. (ed.) et al., Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4738-1/hbk). Translations. Series 2. American Mathematical Society 225; Advances in the Mathematical Sciences 62, 55-71 (2008). MSC: 81U10 81Q10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{S. B. Levin}, Transl., Ser. 2, Am. Math. Soc. 225, 55--71 (2008; Zbl 1160.81476) OpenURL
Buslaev, Vladimir S.; Sulem, Catherine Linear adiabatic dynamics generated by operators with continuous spectrum. I. (English) Zbl 1152.35336 Asymptotic Anal. 58, No. 1-2, 17-45 (2008). MSC: 35G10 35B40 35B25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{C. Sulem}, Asymptotic Anal. 58, No. 1--2, 17--45 (2008; Zbl 1152.35336) OpenURL
Buslaev, V. S.; Komech, A. I.; Kopylova, E. A.; Stuart, D. On asymptotic stability of solitary waves in Schrödinger equation coupled to nonlinear oscillator. (English) Zbl 1185.35247 Commun. Partial Differ. Equations 33, No. 4, 669-705 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35Q51 35B35 35B40 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Commun. Partial Differ. Equations 33, No. 4, 669--705 (2008; Zbl 1185.35247) Full Text: DOI arXiv Link OpenURL
Buslaev, V. S.; Strazdin, V. Yu. One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. (English) Zbl 1168.34367 Funct. Anal. Appl. 41, No. 3, 237-240 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 84-88 (2007). MSC: 34L40 34L05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. Yu. Strazdin}, Funct. Anal. Appl. 41, No. 3, 237--240 (2007; Zbl 1168.34367); translation from Funkts. Anal. Prilozh. 41, No. 3, 84--88 (2007) Full Text: DOI OpenURL
Budylin, A. M.; Buslaev, V. S. Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics. (English) Zbl 1142.35109 Birman, M. S. (ed.) et al., Nonlinear equations and spectral theory. Dedicated to the memory of Olga Aleksandrovna Ladyzhenskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4209-6/hbk). Translations. Series 2. American Mathematical Society 220. Advances in the Mathematical Sciences 59, 45-81 (2007). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35S05 82B10 35B40 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 220, 45--81 (2007; Zbl 1142.35109) OpenURL
Buslaev, V. S.; Grinina, E. A. Remarks on the quantum adiabatic theorem. (English. Russian original) Zbl 1081.81040 St. Petersbg. Math. J. 16, No. 4, 639-648 (2005); translation from Algebra Anal. 16, No. 4, 41-53 (2004). Reviewer: Pavel Dyshlovenko (Ul’yanovsk) MSC: 81Q15 47N50 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Grinina}, St. Petersbg. Math. J. 16, No. 4, 639--648 (2005; Zbl 1081.81040); translation from Algebra Anal. 16, No. 4, 41--53 (2004) Full Text: DOI OpenURL
Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. Adiabatic asymptotics of the reflection coefficient. (English. Russian original) Zbl 1084.34026 St. Petersbg. Math. J. 16, No. 3, 437-452 (2005); translation from Algebra Anal. 16, No. 3, 1-23 (2004). Reviewer: Manfred Möller (Johannesburg) MSC: 34B24 34E05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 3, 437--452 (2005; Zbl 1084.34026); translation from Algebra Anal. 16, No. 3, 1--23 (2004) Full Text: DOI OpenURL
Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. Mikhail Shlemovich Birman (on the occasion of his 75th birthday). (English. Russian original) Zbl 1061.01500 St. Petersbg. Math. J. 16, No. 1, 1-8 (2004); translation from Algebra Anal. 16, No. 1, 5-14 (2004). MSC: 01A70 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., St. Petersbg. Math. J. 16, No. 1, 1--8 (2004; Zbl 1061.01500); translation from Algebra Anal. 16, No. 1, 5--14 (2004) Full Text: DOI OpenURL
Buslaev, V. S. Asymptotic comparison of differential equations. (English. Russian original) Zbl 1055.34104 St. Petersbg. Math. J. 14, No. 4, 535-547 (2003); translation from Algebra Anal. 14, No. 4, 1-18 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 34E20 34A30 34E10 PDF BibTeX XML Cite \textit{V. S. Buslaev}, St. Petersbg. Math. J. 14, No. 4, 1--18 (2003; Zbl 1055.34104); translation from Algebra Anal. 14, No. 4, 1--18 (2002) OpenURL
Buslaev, Vladimir S.; Sulem, Catherine On asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1028.35139 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419-475 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 37K40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{C. Sulem}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 3, 419--475 (2003; Zbl 1028.35139) Full Text: DOI Numdam EuDML OpenURL
Buslaev, V.; Pastur, L. A class of the multi-interval eigenvalue distributions of matrix models and related structures. (English) Zbl 1041.81024 Malyshev, V. A. (ed.) et al., Asymptotic combinatorics with application to mathematical physics. Proceedings of the NATO Advanced Study Institute, St. Petersburg, Russia, July 9–22, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0792-2/hbk; 1-4020-0793-0/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 77, 51-70 (2002). MSC: 81Q10 81R05 81T10 15B52 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{L. Pastur}, NATO Sci. Ser. II, Math. Phys. Chem. 77, 51--70 (2002; Zbl 1041.81024) OpenURL
Buslaev, Vladimir S.; Sulem, Catherine Asymptotic stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 1017.35104 Bona, Jerry (ed.) et al., The legacy of the inverse scattering transform in applied mathematics. Proceedings of an AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 301, 163-181 (2002). MSC: 35Q55 37K45 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{C. Sulem}, Contemp. Math. 301, 163--181 (2002; Zbl 1017.35104) OpenURL
Buslaev, V.; Fedotov, A. On the difference equations with periodic coefficients. (English) Zbl 1012.39008 Adv. Theor. Math. Phys. 5, No. 6, 1105-1168 (2001). MSC: 39A11 39A12 37J45 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, Adv. Theor. Math. Phys. 5, No. 6, 1105--1168 (2001; Zbl 1012.39008) Full Text: DOI OpenURL
Budylin, A. M.; Buslaev, V. S. The Gel’fand-Levitan-Marchenko equation, and the long-time asymptotics of solutions of the nonlinear Schrödinger equation. (English. Russian original) Zbl 0998.35050 St. Petersbg. Math. J. 12, No. 5, 761-789 (2001); translation from Algebra Anal. 12, No. 5, 64-105 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 35Q55 35B40 47G30 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, St. Petersbg. Math. J. 12, No. 5, 761--789 (2001; Zbl 0998.35050); translation from Algebra Anal. 12, No. 5, 64--105 (2001) OpenURL
Budylin, A. M.; Buslaev, V. S. Semiclassical pseudodifferential operators with double discontinuous symbols and their application to problems of quantum statistical physics. (English) Zbl 1136.35466 Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24–28, 2000. Basel: Birkhäuser (ISBN 3-7643-6219-7/hbk). Oper. Theory, Adv. Appl. 126, 41-51 (2001). Reviewer: Lechoslaw Hącia (Poznań) MSC: 35S05 45P05 82B10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, in: Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24--28, 2000. Basel: Birkhäuser. 41--51 (2001; Zbl 1136.35466) OpenURL
Buslaev, Vladimir; Grigis, Alain Turning points for adiabatically perturbed periodic equations. (English) Zbl 0987.35013 J. Anal. Math. 84, 67-143 (2001). Reviewer: Ion Onciulescu (Iaşi) MSC: 35B10 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Anal. Math. 84, 67--143 (2001; Zbl 0987.35013) Full Text: DOI OpenURL
Buslaev, V. S.; Grikurov, V. E. Simulation of instability of bright solitons for NLS with saturating nonlinearity. (English) Zbl 0972.78019 Math. Comput. Simul. 56, No. 6, 539-546 (2001). MSC: 78A60 35Q60 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. E. Grikurov}, Math. Comput. Simul. 56, No. 6, 539--546 (2001; Zbl 0972.78019) Full Text: DOI OpenURL
Budylin, A. M.; Buslaev, V. S. The Gelfand-Levitan-Marchenko equation and the long-time asymptotics of the solutions of the nonlinear Schrödinger equation. (English) Zbl 0966.35121 Semenov-Tian-Shansky, Michael (ed.), L. D. Faddeev’s seminar on mathematical physics. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 201, 63-78 (2000). MSC: 35Q55 35B40 37K15 35S05 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 201, 63--78 (2000; Zbl 0966.35121) OpenURL
Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R. Mikhail Shlyomovich Birman (on his 70th birthday). (English. Russian original) Zbl 0958.01026 Russ. Math. Surv. 55, No. 1, 201-205 (2000); translation from Usp. Mat. Nauk 55, No. 1, 204-207 (2000). MSC: 01A70 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Russ. Math. Surv. 55, No. 1, 204--207 (2000; Zbl 0958.01026); translation from Usp. Mat. Nauk 55, No. 1, 204--207 (2000) Full Text: DOI OpenURL
Buslaev, Vladimir; Fedotov, Alexander On the difference equations with periodic coefficients. (English) Zbl 1253.39002 De Wit, David (ed.) et al., 12th international congress of mathematical physics (ICMP’97). Proceedings of the congress held in Brisbane, Australia, July 13–19, 1997. Cambridge, MA: International Press (ISBN 1-57146-055-1). 303-308 (1999). MSC: 39A10 39-02 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, in: 12th international congress of mathematical physics (ICMP'97). Proceedings of the congress held in Brisbane, Australia, July 13--19, 1997. Cambridge, MA: International Press. 303--308 (1999; Zbl 1253.39002) Full Text: arXiv OpenURL
Buslaev, V. S. Kronig-Penney electron in a homogeneous electric field. (English) Zbl 0935.34072 Buslaev, V. (ed.) et al., Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 189(41), 45-57 (1999). Reviewer: T.Regińska (Warszawa) MSC: 34L40 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 189, 45--57 (1999; Zbl 0935.34072) OpenURL
Buslaev, V.; Solomyak, M.; Yafaev, D. On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. (English) Zbl 1026.01503 Buslaev, V. (ed.) et al., Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 189(41), 1-15, 17-26 (1999). MSC: 01A70 PDF BibTeX XML Cite \textit{V. Buslaev} et al., Transl., Ser. 2, Am. Math. Soc. 189, 1--15, 17--26 (1999; Zbl 1026.01503) OpenURL
Buslaev, Vladimir; Grigis, Alain Imagrinary parts of Stark-Wannier resonances. (English) Zbl 1001.34075 J. Math. Phys. 39, No. 5, 2520-2550 (1998). MSC: 34L40 81Q20 34L05 81U05 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Grigis}, J. Math. Phys. 39, No. 5, 2520--2550 (1998; Zbl 1001.34075) Full Text: DOI OpenURL
Buslaeva, M. V.; Buslaev, V. S. Singularities of the Green function of the nonstationary Schrödinger equation. (English. Russian original) Zbl 0920.35008 Funct. Anal. Appl. 32, No. 2, 132-134 (1998); translation from Funkts. Anal. Prilozh. 32, No. 2, 80-83 (1998). MSC: 35A20 81Q05 PDF BibTeX XML Cite \textit{M. V. Buslaeva} and \textit{V. S. Buslaev}, Funct. Anal. Appl. 32, No. 2, 132--134 (1998; Zbl 0920.35008); translation from Funkts. Anal. Prilozh. 32, No. 2, 80--83 (1998) Full Text: DOI OpenURL
Buslaev, V. S.; Fedotov, A. A. The Harper equation: Monodromization without quasiclassics. (English. Russian original) Zbl 0866.34071 St. Petersbg. Math. J. 8, No. 2, 231-254 (1997); translation from Algebra Anal. 8, No. 2, 65-97 (1996). MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, St. Petersbg. Math. J. 8, No. 2, 65--97 (1996; Zbl 0866.34071); translation from Algebra Anal. 8, No. 2, 65--97 (1996) OpenURL
Buslaev, V. S.; Fedotov, A. A. The Harper equation: Monodromization without quasiclassics. (Russian) Zbl 0849.34066 Algebra Anal. 8, No. 2, 65-97 (1996). Reviewer: L.A.Sakhnovich (Odessa) MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, Algebra Anal. 8, No. 2, 65--97 (1996; Zbl 0849.34066) OpenURL
Budylin, A. M.; Buslaev, V. S. Quasiclassical integral equations and the asymptotic behavior of solutions to the Korteweg-de Vries equation for large times. (English. Russian original) Zbl 0956.35114 Dokl. Math. 53, No. 3, 441-444 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 4, 455-458 (1996). MSC: 35Q53 37K15 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Dokl. Math. 53, No. 3, 441--444 (1996; Zbl 0956.35114); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 348, No. 4, 455--458 (1996) OpenURL
Buslaev, V.; Fedotov, A. Spectral properties of the monodromy matrix for Harper equation. (English) Zbl 0874.39006 Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1996, Exp. No. 4, 11 p. (1996). Reviewer: R.Vaillancourt (Ottawa) MSC: 39A11 39A10 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, Journ. Équ. Dériv. Partielles, St.-Jean-de-Monts 1996, Exp. No. 4, 11 p. (1996; Zbl 0874.39006) Full Text: Numdam EuDML OpenURL
Budylin, A. M.; Buslaev, V. S. Semiclassical integral equations on the semiaxis. (English) Zbl 0869.45003 Dobrushin, R. L. (ed.) et al., Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 177(32), 45-49 (1996). MSC: 45E10 45M05 47G10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 177, 45--49 (1996; Zbl 0869.45003) OpenURL
Budylin, A. M.; Buslaev, V. S. Semiclassical asymptotics of the resolvent of the integral convolution operator with sine-kernel on a finite interval. (English. Russian original) Zbl 0862.35148 St. Petersbg. Math. J. 7, No. 6, 925-942 (1996); translation from Algebra Anal. 7, No. 6, 70-103 (1995). Reviewer: V.Iftimie (Bucureşti) MSC: 35S05 47G10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, St. Petersbg. Math. J. 7, No. 6, 79--103 (1995; Zbl 0862.35148); translation from Algebra Anal. 7, No. 6, 70--103 (1995) OpenURL
Buslaev, V. S.; Fedotov, A. A. Bloch solutions for difference equations. (English. Russian original) Zbl 0859.39001 St. Petersbg. Math. J. 7, No. 4, 561-594 (1996); translation from Algebra Anal. 7, No. 4, 74-122 (1995). MSC: 39A10 39A12 30D45 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, St. Petersbg. Math. J. 7, No. 4, 74--122 (1995; Zbl 0859.39001); translation from Algebra Anal. 7, No. 4, 74--122 (1995) OpenURL
Buslaev, V. S.; Perel’man, G. S. On the stability of solitary waves for nonlinear Schrödinger equations. (English) Zbl 0841.35108 Uraltseva, N. N. (ed.), Nonlinear evolution equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 164 (22), 75-98 (1995). Reviewer: L.A.Sakhnovich (Odessa) MSC: 35Q55 35Q51 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{G. S. Perel'man}, Transl., Ser. 2, Am. Math. Soc. 164, 75--98 (1995; Zbl 0841.35108) OpenURL
Buslaev, V. S.; Fedotov, A. A. Bloch solutions for difference equations. (Russian) Zbl 0847.39002 Algebra Anal. 7, No. 4, 74-122 (1995). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A10 39A12 30D45 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, Algebra Anal. 7, No. 4, 74--122 (1995; Zbl 0847.39002) OpenURL
Buslaev, Vladimir; Fedotov, Alexander The functional structure of the monodromy matrix for Harper’s equation. (English) Zbl 0816.34058 Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 321-342 (1994). Reviewer: Jiang Furu (Shanghai) MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, in: Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. 321--342 (1994; Zbl 0816.34058) OpenURL
Buslaev, V. S.; Fedotov, A. A. The complex WKB method for Harper’s equation. I. (English. Russian original) Zbl 0839.34066 St. Petersbg. Math. J. 6, No. 3, 495-517 (1995); translation from Algebra Anal. 6, No. 3, 59-83 (1994). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, St. Petersbg. Math. J. 6, No. 3, 59--83 (1994; Zbl 0839.34066); translation from Algebra Anal. 6, No. 3, 59--83 (1994) OpenURL
Buslaev, V. S.; Fedotov, A. A. Complex WKB method for Harper’s equation. (Russian) Zbl 0821.34062 Algebra Anal. 6, No. 3, 59-83 (1994). Reviewer: A.G.Baskakov (Voronezh) MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. A. Fedotov}, Algebra Anal. 6, No. 3, 59--83 (1994; Zbl 0821.34062) OpenURL
Buslaev, V.; Fedotov, A. Monodromization and the Harper equation. (English) Zbl 0880.34082 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1993-1994, Exp. No. 21, 21 p. (1994). Reviewer: V.C.Boffi (Roma) MSC: 34L05 34L40 34M99 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{A. Fedotov}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 21, 21\,p. (1994; Zbl 0880.34082) Full Text: EuDML OpenURL
Buslaev, Vladimir; Grecchi, Vincenzo Equivalence of unstable anharmonic oscillators and double wells. (English) Zbl 0817.47077 J. Phys. A, Math. Gen. 26, No. 20, 5541-5549 (1993). MSC: 47N50 81Q10 PDF BibTeX XML Cite \textit{V. Buslaev} and \textit{V. Grecchi}, J. Phys. A, Math. Gen. 26, No. 20, 5541--5549 (1993; Zbl 0817.47077) Full Text: DOI OpenURL
Buslaev, V. S.; Rybakina, E. A. The trace formula for the nonlinear Klein-Gordon equation. (English) Zbl 0807.35132 Birman, M. Sh. (ed.), Wave propagation. Scattering theory. Transl. from the Russian by Peter Zhevandrov. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 157, 191-213 (1993). MSC: 35Q55 70H03 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Rybakina}, Transl., Ser. 2, Am. Math. Soc. 157, 191--213 (1993; Zbl 0807.35132) OpenURL
Budylin, A. M.; Buslaev, V. S. Semiclassical integral equations with slowly decreasing kernels on finite domains. (English. Russian original) Zbl 0794.45001 St. Petersbg. Math. J. 5, No. 1, 141-158 (1994); translation from Algebra Anal. 5, No. 1, 160-178 (1993). Reviewer: J.F.Toland (Bath) MSC: 45A05 45M05 45E10 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, St. Petersbg. Math. J. 5, No. 1, 160--178 (1993; Zbl 0794.45001); translation from Algebra Anal. 5, No. 1, 160--178 (1993) OpenURL
Buslaev, V. S.; Perel’man, G. S. Nonlinear scattering: The states which are close to a soliton. (English. Russian original) Zbl 0836.35146 J. Math. Sci., New York 77, No. 3, 3161-3169 (1995); translation from Zap. Nauchn. Semi. POMI 200, 38-50 (1992). MSC: 35Q55 35P25 81U05 35Q51 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{G. S. Perel'man}, J. Math. Sci., New York 77, No. 1, 38--50, 70 (1992; Zbl 0836.35146); translation from Zap. Nauchn. Semi. POMI 200, 38--50 (1992) Full Text: DOI OpenURL
Buslaev, V. S.; Perel’man, G. S. Scattering for the nonlinear Schrödinger equation: States close to a soliton. (English. Russian original) Zbl 0853.35112 St. Petersbg. Math. J. 4, No. 6, 1111-1142 (1993); translation from Algebra Anal. 4, No. 6, 63-102 (1992). MSC: 35Q55 35P25 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{G. S. Perel'man}, St. Petersbg. Math. J. 4, No. 6, 63--102 (1992; Zbl 0853.35112); translation from Algebra Anal. 4, No. 6, 63--102 (1992) OpenURL
Buslaev, V. S.; Perelman, Galina On nonlinear scattering of states which are close to a soliton. (English) Zbl 0795.35111 Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 49-63 (1992). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35Q55 35P25 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{G. Perelman}, in: Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France. 49--63 (1992; Zbl 0795.35111) Full Text: Link OpenURL
Buslaev, V. S.; Perel’man, G. S. Nonlinear scattering: The states which are close to a soliton. (Russian. English summary) Zbl 0799.35197 Zap. Nauchn. Semin. POMI 200, 38-50, 70 (1992). MSC: 35Q55 35P25 81U05 35Q51 PDF BibTeX XML Full Text: EuDML OpenURL
Budylin, A. M.; Buslaev, V. S. Reflection operators and their applications to asymptotic investigations of semiclassical integral equations. (English) Zbl 0743.45003 Estimates and asymptotics for discrete spectra of integral and differential equations, Pap. Semin. Math. Phys., Leningrad/Russia 1989-90, Adv. Sov. Math. 7, 107-157 (1991). Reviewer: J.Banaś (Rzeszów) MSC: 45A05 45M05 47A68 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Adv. Sov. Math. 7, 107--157 (1991; Zbl 0743.45003) OpenURL
Buslaev, V. S. Optical and acoustic Fourier-processors. (English. Russian original) Zbl 0843.43012 Commutative harmonic analysis III. Encycl. Math. Sci. 72, 129-175 (1995); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 72, 135-180 (1991). Reviewer: K.B.Wolf (Mexico City) MSC: 43A99 78A40 94A12 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 72, 135--180 (1991; Zbl 0843.43012); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 72, 135--180 (1991) OpenURL
Buslaev, V. S. Spectral properties of adiabatically perturbed differential operators with periodic coefficients. (English) Zbl 0726.34068 Recent developments in quantum mechanics, Proc. Conf., Braşov/Rom. 1989, Math. Phys. Stud. 12, 97-112 (1991). MSC: 34L20 PDF BibTeX XML OpenURL
Buslaev, V. On spectral properties of adiabatically perturbed Schrödinger operators with periodic potentials. (English) Zbl 0739.35053 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.XXIII, 15 p. (1991). MSC: 35P20 35Q55 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Budylin, A. M.; Buslaev, V. S. Quasiclassical integral equations. (English. Russian original) Zbl 0769.45009 Sov. Math., Dokl. 44, No. 1, 127-131 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 3, 527-530 (1991). Reviewer: Hou Zongyi (Shanghai) MSC: 45P05 45E10 45M05 PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Sov. Math., Dokl. 44, No. 1, 127--131 (1991; Zbl 0769.45009); translation from Dokl. Akad. Nauk SSSR 319, No. 3, 527--530 (1991) OpenURL
Buslaev, V. S.; Dmitrieva, L. A. A Bloch electron in an external field. (English. Russian original) Zbl 0726.34070 Leningr. Math. J. 1, No. 2, 287-320 (1990); translation from Algebra Anal. 1, No. 2, 1-29 (1989). MSC: 34L25 81U30 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Leningr. Math. J. 1, No. 2, 287--320 (1990; Zbl 0726.34070); translation from Algebra Anal. 1, No. 2, 1--29 (1989) OpenURL
Buslaev, V. S. Spectral properties of the operators \(H\psi =-\psi_{xx}+p(x)\psi +v(\epsilon x)\psi\), p is periodic. (English) Zbl 0723.47042 Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 85-107 (1990). MSC: 47F05 47A10 PDF BibTeX XML Cite \textit{V. S. Buslaev}, in: Order, disorder and chaos in quantum systems. Proceedings of a conference held at Dubna, USSR on October 17-21, 1989. Basel etc.: Birkhäuser Verlag. 85--107 (1990; Zbl 0723.47042) OpenURL
Buslaev, V. S.; Chernenko, V. G. Remarks on the regularization of the trace formula for a three-particle system. (Russian. English summary) Zbl 1268.81147 Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1989, No. 2, 79-80 (1989). MSC: 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. G. Chernenko}, Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1989, No. 2, 79--80 (1989; Zbl 1268.81147) OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Bloch electrons in an external electric field. (English) Zbl 0725.34097 Schrödinger operators, standard and non-standard, Proc. Conf., Dubna/USSR 1988, 103-129 (1989). MSC: 34L40 81Q05 PDF BibTeX XML OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Bloch electron in an external field. (Russian) Zbl 0714.34128 Algebra Anal. 1, No. 2, 1-29 (1989). Reviewer: W.Müller MSC: 34L25 81U30 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Algebra Anal. 1, No. 2, 1--29 (1989; Zbl 0714.34128) OpenURL
Buslaev, V. S.; Chernenko, V. G. Spectral identities for a system of many quantum particles. (Russian. English summary) Zbl 1268.81072 Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 16-21 (1987). MSC: 81Q10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. G. Chernenko}, Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 16--21 (1987; Zbl 1268.81072) OpenURL
Buslaev, V. S.; Ladyzhenskaya, O. A.; Merkur’ev, S. P.; Faddeev, L. D. Vladimir Ivanovich Smirnov. (Russian) Zbl 1268.01027 Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 3-8 (1987). MSC: 01A70 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Vestn. Leningrad. Univ., Ser. 4, Fiz. Khim. 1987, No. 2, 3--8 (1987; Zbl 1268.01027) OpenURL
Buslaev, V. S. Semiclassical approximation for equations with periodic coefficients. (English. Russian original) Zbl 0698.35130 Russ. Math. Surv. 42, No. 6, 97-125 (1987); translation from Usp. Mat. Nauk 42, No. 6, 77-98 (1987). Reviewer: E.D.Belokolos MSC: 35Q99 35G99 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Russ. Math. Surv. 42, No. 6, 97--125 (1987; Zbl 0698.35130); translation from Usp. Mat. Nauk 42, No. 6, 77--98 (1987) Full Text: DOI OpenURL
Buslaev, V. S.; Dmitrieva, L. A. Adiabatic perturbation of a periodic potential. II. (Russian. English summary) Zbl 0643.34068 Teor. Mat. Fiz. 73, No. 3, 430-442 (1987). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{L. A. Dmitrieva}, Teor. Mat. Fiz. 73, No. 3, 430--442 (1987; Zbl 0643.34068) OpenURL
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. On the diffraction character of scattering in a quantum system of three one-dimensional particles. (English) Zbl 0616.47008 Sel. Math. Sov. 6, 45-58 (1987). MSC: 47A40 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Sel. Math. Sov. 6, 45--58 (1987; Zbl 0616.47008) OpenURL
Budylin, A. M.; Buslaev, V. S. On the asymptotic behavior of spectral characteristics of an integral operator with difference kernel on expanding regions. (English. Russian original) Zbl 0635.47006 Sov. Math., Dokl. 33, 400-403 (1986); translation from Dokl. Akad. Nauk SSSR, 287, 529-532 (1986). Reviewer: L.Hacia MSC: 47A10 47B38 47Gxx PDF BibTeX XML Cite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Sov. Math., Dokl. 33, 400--403 (1986; Zbl 0635.47006); translation from Dokl. Akad. Nauk SSSR, 287, 529--532 (1986) OpenURL
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A. Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. (English) Zbl 0618.35100 Physica D 18, 255-266 (1986). Reviewer: J.Kostarcuk MSC: 35Q99 35A30 35P25 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Physica D 18, 255--266 (1986; Zbl 0618.35100) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. Asymptotic behavior of solutions for t\(\to \infty\) of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u satisfying the Korteweg-de Vries equation. (Russian) Zbl 0606.35078 Probl. Mat. Fiz. 11, 78-113 (1986). Reviewer: O.Dumbrajs MSC: 35Q99 35R30 35P25 35B40 35G25 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 11, 78--113 (1986; Zbl 0606.35078) OpenURL
Buslaev, V. S.; Sukhanov, V. V. Asymptotic behavior of solutions of the Korteweg-de Vries equation for large times. (English) Zbl 0597.35102 J. Sov. Math. 34, 1905-1923 (1986). MSC: 35Q99 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 34, 1905--1923 (1986; Zbl 0597.35102) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. Asymptotic behavior for t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with a potential u, satisfying the Korteweg-de Vries equation. II. (English) Zbl 0582.35009 J. Sov. Math. 32, 426-446 (1986). MSC: 35B40 35Q99 35J10 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, J. Sov. Math. 32, 426--446 (1986; Zbl 0582.35009) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behavior as t\(\to \infty\) of the solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with potential u satisfying the Korteweg-de Vries equation. I. (English) Zbl 0582.35008 Sel. Math. Sov. 4, 225-248 (1985). MSC: 35B40 35Q99 34L99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Sel. Math. Sov. 4, 225--248 (1985; Zbl 0582.35008) OpenURL
Buslaev, V. S.; Rybakina, E. A. Trace formula in Hamiltonian mechanics. (English) Zbl 0561.70016 J. Sov. Math. 28, 645-659 (1985). MSC: 70H05 81Q05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Rybakina}, J. Sov. Math. 28, 645--659 (1985; Zbl 0561.70016) Full Text: DOI OpenURL
Buslaev, V. S. Regularization of many-particle scattering. (English) Zbl 0617.47006 Proc. Int. Congr. Math., Warszawa 1983, Vol. 2, 1149-1159 (1984). MSC: 47A40 81U10 PDF BibTeX XML OpenURL
Buslaev, V. S.; Nalimova, E. A. Trace formula in Lagrangian mechanics. (English. Russian original) Zbl 0598.70023 Theor. Math. Phys. 61, 989-997 (1984); translation from Teor. Mat. Fiz. 61, No. 1, 52-63 (1984). Reviewer: P.Smith MSC: 70H03 37J99 49J15 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Nalimova}, Theor. Math. Phys. 61, 989--997 (1984; Zbl 0598.70023); translation from Teor. Mat. Fiz. 61, No. 1, 52--63 (1984) Full Text: DOI OpenURL
Buslaev, V. S.; Nalimova, E. A. Trace formula in general Hamiltonian mechanics. (English. Russian original) Zbl 0598.70018 Theor. Math. Phys. 60, 863-871 (1984); translation from Teor. Mat. Fiz. 60, No. 3, 344-355 (1984). Reviewer: N.Arley MSC: 70H05 37J99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Nalimova}, Theor. Math. Phys. 60, 863--871 (1984; Zbl 0598.70018); translation from Teor. Mat. Fiz. 60, No. 3, 344--355 (1984) Full Text: DOI OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behaviour of solutions of the equation \(\psi _{xx}+u(x,t)\psi +(\lambda /4)\psi =0\) with the potential u satisfying the Korteweg-de Vries equations, as t\(\to \infty\). II. (Russian. English summary) Zbl 0559.35074 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 8-32 (1984). MSC: 35Q99 35J10 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 8--32 (1984; Zbl 0559.35074) Full Text: EuDML OpenURL
Buslaev, V. S. Adiabatic perturbation of a periodic potential. (English) Zbl 0557.34053 Theor. Math. Phys. 58, 153-159 (1984). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Theor. Math. Phys. 58, 153--159 (1984; Zbl 0557.34053) Full Text: DOI OpenURL
Buslaev, V. S. On adiabatic perturbation of a periodic potential. (Russian. English summary) Zbl 0534.34064 Teor. Mat. Fiz. 58, No. 2, 233-243 (1984). MSC: 34E20 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Teor. Mat. Fiz. 58, No. 2, 233--243 (1984; Zbl 0534.34064) OpenURL
Buslaev, V. S. Structure of the acoustic field near the surface of a deep sea. (English) Zbl 0531.76090 J. Sov. Math. 24, 324-333 (1984). MSC: 76Q05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, J. Sov. Math. 24, 324--333 (1984; Zbl 0531.76090) Full Text: DOI OpenURL
Buldyrev, V. S.; Buslaev, V. S. Asymptotic methods in problems of the propagation of sound in oceanic waveguides and their numerical realization. (English) Zbl 0531.76089 J. Sov. Math. 24, 290-313 (1984). MSC: 76Q05 86A05 76-02 PDF BibTeX XML Cite \textit{V. S. Buldyrev} and \textit{V. S. Buslaev}, J. Sov. Math. 24, 290--313 (1984; Zbl 0531.76089) Full Text: DOI OpenURL
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. Description of pair potentials for which the scattering in a quantum system of three one-dimensional particles is free of diffraction effects. (English) Zbl 0515.35069 J. Sov. Math. 21, 260-265 (1983). MSC: 35P25 35B40 31C99 47A40 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., J. Sov. Math. 21, 260--265 (1983; Zbl 0515.35069) Full Text: DOI OpenURL
Buslaev, V. S.; Rybakina, E. A. The trace formula in Hamiltonian mechanics. (Russian) Zbl 0537.70016 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 40-60 (1982). Reviewer: T.Atanacković MSC: 70H05 81Q05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{E. A. Rybakina}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 115, 40--60 (1982; Zbl 0537.70016) Full Text: EuDML OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behaviour of solutions of the Korteweg-deVries equation for long times. (Russian) Zbl 0514.35077 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 120, 32-50 (1982). MSC: 35Q99 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 120, 32--50 (1982; Zbl 0514.35077) Full Text: EuDML OpenURL
Buslaev, V. S.; Sukhanov, V. V. On the asymptotic behaviour for \(t\to \infty\) of the solutions of the equation \(\psi_{xx} + u(x,t) \psi + (\lambda/4) \psi = 0\) with a potential \(u\) satisfying the Korteweg-deVries equation. I. (Russian) Zbl 0513.35011 Probl. Mat. Fiz. 10, 70-102 (1982). MSC: 35B40 35Q99 34L99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. V. Sukhanov}, Probl. Mat. Fiz. 10, 70--102 (1982; Zbl 0513.35011) OpenURL
Buslaev, V. S.; Vakulenko, A. F. A unitary regularization of three-particle scattering. (English) Zbl 0492.47009 Vestn. Leningr. Univ., Math. 10, 249-259 (1982). MSC: 47A40 47F05 35P25 45B05 81U99 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. F. Vakulenko}, Vestn. Leningr. Univ., Math. 10, 249--259 (1982; Zbl 0492.47009) OpenURL
Buldyrev, V. S.; Buslaev, V. S. Asymptotic methods in problems of sound propagation in ocean wave guides and their numerical realization. (Russian) Zbl 0482.76078 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 117, 39-77 (1981). MSC: 76Q05 76-02 86A05 PDF BibTeX XML Cite \textit{V. S. Buldyrev} and \textit{V. S. Buslaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 117, 39--77 (1981; Zbl 0482.76078) Full Text: EuDML OpenURL
Buslaev, V. S. The structure of an acoustic field near the surface of deep sea. (Russian) Zbl 0482.76077 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 117, 98-111 (1981). MSC: 76Q05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 117, 98--111 (1981; Zbl 0482.76077) Full Text: EuDML OpenURL
Buslaev, V. S. Variational calculus. Textbook. (Variatsionnoe ischislenie. Uchebnoe posobie). (Russian) Zbl 0489.49001 Leningradskij Ordena Lenina i Ordena Trudovogo Krasnogo Znameni Gosudarstvennyj Universitet im. A. A. Zhdanova. Leningrad: Izdatel’stvo Leningradskogo Universiteta. 288 p. R. 0.75 (1980). MSC: 49-01 49S05 00A06 00-01 49J15 70H05 PDF BibTeX XML OpenURL
Buslaev, V. S. Local spectral asymptotics of the Green’s function in exterior problems for the Schrödinger operator. (English) Zbl 0437.47010 Vestn. Leningr. Univ., Math. 8, 43-50 (1980). MSC: 47A40 35J10 35P25 35B40 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Vestn. Leningr. Univ., Math. 8, 43--50 (1980; Zbl 0437.47010) OpenURL
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. On the diffraction characteristics of the scattering problem for a quantum system of three one-dimensional particles. (Russian) Zbl 0494.47010 Probl. Mat. Fiz. 9, 14-30 (1979). MSC: 47A40 81U10 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Probl. Mat. Fiz. 9, 14--30 (1979; Zbl 0494.47010) OpenURL
Buslaev, V. S.; Merkur’ev, S. P.; Salikov, S. P. Description of the pair potentials for which the scattering in the quantum system of three one-dimensional particles is free of diffractional effects. (Russian) Zbl 0413.35058 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 84, 16-22 (1979). MSC: 35P25 47A40 35B40 31C99 PDF BibTeX XML Cite \textit{V. S. Buslaev} et al., Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 84, 16--22 (1979; Zbl 0413.35058) Full Text: EuDML OpenURL
Buslaev, V. S.; Bakulenko, A. F. A unitary regularizing operator for three-particle scattering. (Russian) Zbl 0498.35067 Partial differential equations, Proc. All-Union Conf., Moscow 1976, dedic. I. G. Petrovskij, 1606, 56-58 (1978). MSC: 35P25 81U10 35J10 35B65 PDF BibTeX XML OpenURL
Buslaev, V. S. Solutions of ”double soliton” type for the multidimensional equation d’Alembert operator(u)=F(u). (English) Zbl 0412.35061 Theor. Math. Phys. 31, 293-299 (1977). MSC: 35L60 35C05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Theor. Math. Phys. 31, 293--299 (1977; Zbl 0412.35061) Full Text: DOI OpenURL
Buslaev, V. S.; Vakulenko, A. F. The unitary regularization for a threeparticle scattering. (Russian) Zbl 0375.47005 Vestn. Leningr. Univ. 1977, No. 13, Mat. Mekh. Astron. 1977, No. 3, 22-30 (1977). MSC: 47A40 35P25 47F05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{A. F. Vakulenko}, Vestn. Leningr. Univ., Mat. Mekh. Astron. 1977, No. 3, 22--30 (1977; Zbl 0375.47005) OpenURL
Buslaev, V. S. Solutions of the double soliton type for multidimensional equation \(\square u= F(u)\). (Russian) Zbl 0346.35073 Teor. Mat. Fiz. 31, 23-32 (1977). MSC: 35L60 35C05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Teor. Mat. Fiz. 31, 23--32 (1977; Zbl 0346.35073) OpenURL
Buslaev, V. S. On the asymptotic behavior of the spectral characteristics of exterior problems for the Schrödinger operator. (English) Zbl 0324.35006 Math. USSR, Izv. 9(1975), 139-223 (1976). MSC: 35B40 35J10 35B45 47F05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Math. USSR, Izv. 9, 139--223 (1976; Zbl 0324.35006) Full Text: DOI OpenURL
Buslaev, V. S. Trace formulas for multichannel problems. (English) Zbl 0349.47021 J. Sov. Math. 3, 420-436 (1975). MSC: 47B10 46E35 PDF BibTeX XML Cite \textit{V. S. Buslaev}, J. Sov. Math. 3, 420--436 (1975; Zbl 0349.47021) Full Text: DOI OpenURL
Buslaev, V. S. Über das asymptotische Verhalten der spektralen Charakteristiken der Außenprobleme für den Schrödingeroperator. (Russian) Zbl 0311.35010 Izv. Akad. Nauk SSSR, Ser. Mat. 39, 149-235 (1975). MSC: 35B40 35J10 35B45 47F05 PDF BibTeX XML Cite \textit{V. S. Buslaev}, Izv. Akad. Nauk SSSR, Ser. Mat. 39, 149--235 (1975; Zbl 0311.35010) OpenURL