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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} and \textit{S. B. Levin}, AIP Conf. Proc. 998, 101--112 (2008; Zbl 1180.81132)
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{V. Buslaev} and \textit{A. Fedotov}, Adv. Theor. Math. Phys. 5, No. 6, 1105--1168 (2001; Zbl 1012.39008) Full Text: DOI
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Transl., Ser. 2, Am. Math. Soc. 177, 45--49 (1996; Zbl 0869.45003)
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XMLCite \textit{A. M. Budylin} and \textit{V. S. Buslaev}, Adv. Sov. Math. 7, 107--157 (1991; Zbl 0743.45003)
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 PDFBibTeX XMLCite \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)
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 PDFBibTeX XML
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Sel. Math. Sov. 6, 45--58 (1987; Zbl 0616.47008)
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., J. Sov. Math. 21, 260--265 (1983; Zbl 0515.35069) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{V. S. Buslaev}, Vestn. Leningr. Univ., Math. 8, 43--50 (1980; Zbl 0437.47010)
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Probl. Mat. Fiz. 9, 14--30 (1979; Zbl 0494.47010)
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 PDFBibTeX XMLCite \textit{V. S. Buslaev} et al., Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 84, 16--22 (1979; Zbl 0413.35058) Full Text: EuDML