Pathan, M. A. Lie algebraic analysis of differential equations and special functions. (English) Zbl 1153.35302 Math. Stud. 71, No. 1-4, 111-124 (2002). MSC: 35A30 33C80 33C90 34A26 58J70 35-02 PDFBibTeX XMLCite \textit{M. A. Pathan}, Math. Stud. 71, No. 1--4, 111--124 (2002; Zbl 1153.35302)
Ramazanov, M. I. On a nonlocal problem for a loaded hyperbolic-elliptic equation in a rectangular domain. (Russian) Zbl 1133.35414 Mat. Zh. 2, No. 4, 75-81 (2002). MSC: 35M10 34K06 34K10 PDFBibTeX XMLCite \textit{M. I. Ramazanov}, Mat. Zh. 2, No. 4, 75--81 (2002; Zbl 1133.35414)
Klimyk, A. U. Laplace operator and separation of variables in noncommutative geometry. (English) Zbl 1097.81512 Ukrainian mathematical congress–2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 5. Mathematical physics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2733-7). 38-54 (2002). MSC: 81Q10 35J05 39A70 PDFBibTeX XMLCite \textit{A. U. Klimyk}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 5. Matematychna fizyka. Kyïv: Instytut Matematyky NAN Ukraïny. 38--54 (2002; Zbl 1097.81512)
Kalenyuk, P. I.; Nytrebych, Z. M. Application of a generalized scheme of separation of variables for description of self-adjoint extensions of minimal operator. (Ukrainian) Zbl 1085.47507 Mat. Metody Fiz.-Mekh. Polya 45, No. 4, 95-101 (2002). Reviewer: V. V. Vlasov (Moskva) MSC: 47E05 34L99 PDFBibTeX XMLCite \textit{P. I. Kalenyuk} and \textit{Z. M. Nytrebych}, Mat. Metody Fiz.-Mekh. Polya 45, No. 4, 95--101 (2002; Zbl 1085.47507)
Vorobets’, M. B. Two-point problem for a system of second order time partial differential equations. (Ukrainian) Zbl 1073.35507 Mat. Metody Fiz.-Mekh. Polya 45, No. 2, 16-21 (2002). Reviewer: L. N. Chernetskaja (Kyïv) MSC: 35A25 35R20 PDFBibTeX XMLCite \textit{M. B. Vorobets'}, Mat. Metody Fiz.-Mekh. Polya 45, No. 2, 16--21 (2002; Zbl 1073.35507)
Sokolov, V. V.; Tsiganov, A. V. Commutative Poisson subalgebras for Sklyanin brackets and deformations of some known integrable models. (English. Russian original) Zbl 1067.37076 Theor. Math. Phys. 133, No. 3, 1730-1743 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 485-500 (2002). MSC: 37J35 17B63 53D17 37J15 70H06 37K10 PDFBibTeX XMLCite \textit{V. V. Sokolov} and \textit{A. V. Tsiganov}, Theor. Math. Phys. 133, No. 3, 1730--1743 (2002; Zbl 1067.37076); translation from Teor. Mat. Fiz. 133, No. 3, 485--500 (2002) Full Text: DOI
Pedroni, M. Bi-Hamiltonian aspects of the separability of the Neumann system. (English. Russian original) Zbl 1067.37074 Theor. Math. Phys. 133, No. 3, 1722-1729 (2002); translation from Teor. Mat. Fiz. 133, No. 3, 475-484 (2002). MSC: 37J35 70H05 PDFBibTeX XMLCite \textit{M. Pedroni}, Theor. Math. Phys. 133, No. 3, 1722--1729 (2002; Zbl 1067.37074); translation from Teor. Mat. Fiz. 133, No. 3, 475--484 (2002) Full Text: DOI arXiv
El-Bary, A. A. Fredholm-Volterra integral equation in one dimension. (English) Zbl 1071.45002 Bull. Pure Appl. Sci., Sect. E, Math. Stat. 21, No. 1, 203-211 (2002). MSC: 45E10 45L05 PDFBibTeX XMLCite \textit{A. A. El-Bary}, Bull. Pure Appl. Sci. E, Math. Stat. 21, No. 1, 203--211 (2002; Zbl 1071.45002)
Cheng, Sui Sun; Medina, Rigoberto Necessary and sufficient oscillation criteria for discrete reaction-diffusion equations. (English) Zbl 1062.39005 Elaydi, S. (ed.) et al., New trends in difference equations. Proceedings of the 5th international conference on difference equations and applications, Temuco, Chile, January 2–7, 2000. London: Taylor & Francis (ISBN 0-415-28389-2/hbk). 69-78 (2002). MSC: 39A11 39A12 35K57 PDFBibTeX XMLCite \textit{S. S. Cheng} and \textit{R. Medina}, in: New trends in difference equations. Proceedings of the 5th international conference on difference equations and applications, Temuco, Chile, January 2--7, 2000. London: Taylor \& Francis. 69--78 (2002; Zbl 1062.39005)
Yehia, H. M. Comment on ’On the Kowalevsky-Goryachev-Chaplygin gyrostat’. (English) Zbl 1088.70501 J. Phys. A, Math. Gen. 35, No. 49, 10669-10670 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 70E40 70E17 70H06 PDFBibTeX XMLCite \textit{H. M. Yehia}, J. Phys. A, Math. Gen. 35, No. 49, 10669--10670 (2002; Zbl 1088.70501) Full Text: DOI
Vinogradov, Yu. I.; Vinogradov, A. Yu.; Gusev, Yu. A. Numerical method of transfer of boundary conditions for stiff differential equations of building mechanics. (Russian. English summary) Zbl 1087.65603 Mat. Model. 14, No. 9, 3-8 (2002). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65N12 65L99 74H99 PDFBibTeX XMLCite \textit{Yu. I. Vinogradov} et al., Mat. Model. 14, No. 9, 3--8 (2002; Zbl 1087.65603) Full Text: MNR
Zhalij, Alexander Towards classification of separable Pauli equations. (English) Zbl 1039.81016 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 768-773 (2002). Reviewer: I. A. Yehorchenko (Kyïv) MSC: 81Q05 35Q40 35A25 58J72 81R20 PDFBibTeX XMLCite \textit{A. Zhalij}, in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 768--773 (2002; Zbl 1039.81016)
Harnad, John; Zhedanov, Alezey; Yermolaeva, Oksana \(R\)-matrix approach to the Krall-Sheffer problem. (English) Zbl 1034.37029 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 314-320 (2002). Reviewer: A. Sergyeyev (Kyïv) MSC: 37J35 37K30 17B62 35J10 35Q40 37J15 81R12 PDFBibTeX XMLCite \textit{J. Harnad} et al., in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 314--320 (2002; Zbl 1034.37029)
Ding, H. J.; Wang, H. M.; Chen, W. Q. Analytical thermo-elastodynamic solutions for a nonhomogeneous transversely isotropic hollow sphere. (English) Zbl 1036.74023 Arch. Appl. Mech. 72, No. 8, 545-553 (2002). MSC: 74H05 PDFBibTeX XMLCite \textit{H. J. Ding} et al., Arch. Appl. Mech. 72, No. 8, 545--553 (2002; Zbl 1036.74023) Full Text: DOI
Li, Xinye; Chen, Yushu; Wu, Zhiqiang Singular analysis of bifurcation of nonlinear normal modes for a class of systems with dual internal resonances. (English) Zbl 1050.70013 Appl. Math. Mech., Engl. Ed. 23, No. 10, 1122-1133 (2002). MSC: 70K50 70K30 PDFBibTeX XMLCite \textit{X. Li} et al., Appl. Math. Mech., Engl. Ed. 23, No. 10, 1122--1133 (2002; Zbl 1050.70013) Full Text: DOI
Stenger, Frank; Naghsh-Nilchi, Ahmad Reza; Niebsch, Jenny; Ramlau, Ronny Sampling methods for approximate solution of PDE. (English) Zbl 1026.35006 Nashed, M. Zuhair (ed.) et al., Inverse problems, image analysis, and medical imaging. AMS special session on interaction of inverse problems and image analysis, New Orleans, LA, USA, January 10-13, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 313, 199-249 (2002). Reviewer: Qin Mengzhao (Beijing) MSC: 35A35 65M70 65N35 65R20 PDFBibTeX XMLCite \textit{F. Stenger} et al., Contemp. Math. 313, 199--249 (2002; Zbl 1026.35006)
Hurtubise, J. C.; Markman, E. Surfaces and the Sklyanin bracket. (English) Zbl 1041.37034 Commun. Math. Phys. 230, No. 3, 485-502 (2002). MSC: 37K10 14C05 37J35 37K30 37K20 PDFBibTeX XMLCite \textit{J. C. Hurtubise} and \textit{E. Markman}, Commun. Math. Phys. 230, No. 3, 485--502 (2002; Zbl 1041.37034) Full Text: DOI arXiv
Marszałek, Wiesław; Trzaska, Zdzisław A boundary-value problem for linear PDAEs. (English) Zbl 1039.93029 Int. J. Appl. Math. Comput. Sci. 12, No. 4, 487-491 (2002). Reviewer: A. V. Balakrishnan (Los Angeles) MSC: 93C20 15A22 93B10 PDFBibTeX XMLCite \textit{W. Marszałek} and \textit{Z. Trzaska}, Int. J. Appl. Math. Comput. Sci. 12, No. 4, 487--491 (2002; Zbl 1039.93029) Full Text: EuDML
Yuryk, Ivan I.; Barannyk, Anatolij F. On exact solutions of the equation \(u_t=u\Delta u+r(\nabla u)^2+s_0\). (Ukrainian. English summary) Zbl 1014.35013 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 4, 131-135 (2002). MSC: 35C05 35A25 PDFBibTeX XMLCite \textit{I. I. Yuryk} and \textit{A. F. Barannyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2002, No. 4, 131--135 (2002; Zbl 1014.35013)
Amato, U.; Antoniadis, A.; De Feis, I. Fourier series approximation of separable models. (English) Zbl 1058.62034 J. Comput. Appl. Math. 146, No. 2, 459-479 (2002). Reviewer: Manfred Tasche (Rostock) MSC: 62G08 62G20 65C60 65T40 42B05 PDFBibTeX XMLCite \textit{U. Amato} et al., J. Comput. Appl. Math. 146, No. 2, 459--479 (2002; Zbl 1058.62034) Full Text: DOI
Baumann, Pierre Canonical bases and the conjugating representation of a semisimple group. (English) Zbl 1067.20058 Pac. J. Math. 206, No. 1, 25-37 (2002). Reviewer: L. N. Vaserstein (University Park) MSC: 20G05 20G15 PDFBibTeX XMLCite \textit{P. Baumann}, Pac. J. Math. 206, No. 1, 25--37 (2002; Zbl 1067.20058) Full Text: DOI
Kuznetsov, Vadim B. Kowalevski top revisited. (English) Zbl 1030.70004 Kuznetsov, V. B. (ed.), The Kowalevski property. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 32, 181-196 (2002). MSC: 70E40 70E17 70G65 PDFBibTeX XMLCite \textit{V. B. Kuznetsov}, in: The Kowalevski property. Providence, RI: American Mathematical Society (AMS). 181--196 (2002; Zbl 1030.70004) Full Text: arXiv
Adams, E.; Plum, M. Free and forced vibrations of trusses by Fourier decomposition, and homotopy methods for nonlinear matrix eigenvalue problems. I: Methods. (English) Zbl 1018.74039 J. Math. Anal. Appl. 275, No. 1, 333-353 (2002). MSC: 74S25 74H45 74K10 PDFBibTeX XMLCite \textit{E. Adams} and \textit{M. Plum}, J. Math. Anal. Appl. 275, No. 1, 333--353 (2002; Zbl 1018.74039) Full Text: DOI
Ding, H. J.; Wang, H. M.; Chen, W. Q. Analytical thermo-elastodynamic solutions for a nonhomogeneous transversely isotropic hollow sphere. (English) Zbl 1137.74340 Arch. Appl. Mech. 72, No. 8, 545-553 (2002). MSC: 74F05 74G10 74K99 PDFBibTeX XMLCite \textit{H. J. Ding} et al., Arch. Appl. Mech. 72, No. 8, 545--553 (2002; Zbl 1137.74340) Full Text: DOI
Ding, Haojiang; Wang, Huiming; Chen, Weiqiu A theoretical solution of cylindrical shells for axisymmetric plain strain elastodynamic problems. (English) Zbl 1041.74045 Appl. Math. Mech., Engl. Ed. 23, No. 2, 138-145 (2002). MSC: 74K25 74H10 PDFBibTeX XMLCite \textit{H. Ding} et al., Appl. Math. Mech., Engl. Ed. 23, No. 2, 138--145 (2002; Zbl 1041.74045) Full Text: DOI
Rodriguez, M. J.; Roselló, M. D.; Jerez, S.; Jódar, L. Solving Dirichlet’s problem in a rectangle for separate variable coefficient elliptic equations. (English) Zbl 1012.35023 Appl. Math. Lett. 15, No. 6, 693-696 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35J25 35A25 PDFBibTeX XMLCite \textit{M. J. Rodriguez} et al., Appl. Math. Lett. 15, No. 6, 693--696 (2002; Zbl 1012.35023) Full Text: DOI
Beylkin, Gregory; Mohlenkamp, Martin J. Numerical operator calculus in higher dimensions. (English) Zbl 1008.65026 Proc. Natl. Acad. Sci. USA 99, No. 16, 10246-10251 (2002). Reviewer: Zhen Mei (Toronto) MSC: 65J05 PDFBibTeX XMLCite \textit{G. Beylkin} and \textit{M. J. Mohlenkamp}, Proc. Natl. Acad. Sci. USA 99, No. 16, 10246--10251 (2002; Zbl 1008.65026) Full Text: DOI Link
Cheng, Sui Sun; Medina, Rigoberto Positive and bounded solutions of discrete reaction-diffusion equations. (English) Zbl 1002.39006 Appl. Math. E-Notes 2, 110-116 (2002). Reviewer: Wan-Tong Li (Lanzhou) MSC: 39A11 35K57 39A12 PDFBibTeX XMLCite \textit{S. S. Cheng} and \textit{R. Medina}, Appl. Math. E-Notes 2, 110--116 (2002; Zbl 1002.39006) Full Text: EuDML EMIS
Morosi, Carlo; Tondo, Giorgio The quasi-bi-Hamiltonian formulation of the Lagrange top. (English) Zbl 1022.70002 J. Phys. A, Math. Gen. 35, No. 7, 1741-1750 (2002). MSC: 70E17 70H05 70G45 37N05 PDFBibTeX XMLCite \textit{C. Morosi} and \textit{G. Tondo}, J. Phys. A, Math. Gen. 35, No. 7, 1741--1750 (2002; Zbl 1022.70002) Full Text: DOI arXiv
Cannata, F.; Ioffe, M. V.; Nishnianidze, D. N. New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance. (English) Zbl 1021.81022 J. Phys. A, Math. Gen. 35, No. 6, 1389-1404 (2002). Reviewer: Violeta Tretynyk (Kyïv) MSC: 81Q60 81Q05 35Q40 81U15 35J10 PDFBibTeX XMLCite \textit{F. Cannata} et al., J. Phys. A, Math. Gen. 35, No. 6, 1389--1404 (2002; Zbl 1021.81022) Full Text: DOI arXiv
Sirendaoreji; Jiong, Sun A direct method for solving sine-Gordon type equations. (English) Zbl 0995.35056 Phys. Lett., A 298, No. 2-3, 133-139 (2002). MSC: 35Q53 35L70 PDFBibTeX XMLCite \textit{Sirendaoreji} and \textit{S. Jiong}, Phys. Lett., A 298, No. 2--3, 133--139 (2002; Zbl 0995.35056) Full Text: DOI
Van Horssen, W. T. On the applicability of the method of separation of variables for partial difference equations. (English) Zbl 0998.39002 J. Difference Equ. Appl. 8, No. 1, 53-60 (2002). MSC: 39A10 39A12 PDFBibTeX XMLCite \textit{W. T. Van Horssen}, J. Difference Equ. Appl. 8, No. 1, 53--60 (2002; Zbl 0998.39002) Full Text: DOI Link
Benjeddou, Ayech; Deü, Jean-François A two-dimensional closed-form solution for the free-vibration analysis of piezoelectric sandwich plates. (English) Zbl 1046.74018 Int. J. Solids Struct. 39, No. 6, 1463-1486 (2002). Reviewer: Eugeni Syrkin (Khar’kov) MSC: 74H45 74K20 74E30 74F15 74H05 PDFBibTeX XMLCite \textit{A. Benjeddou} and \textit{J.-F. Deü}, Int. J. Solids Struct. 39, No. 6, 1463--1486 (2002; Zbl 1046.74018) Full Text: DOI
Tveito, Aslak; Winther, Ragnar Introduction to partial differential equations: a computational approach. Transl. from the English by Hanna Peywand Kiani. (Einführung in partielle Differentialgleichungen. Ein numerischer Zugang. Übersetzt aus dem Englischen von Hanna Peywand Kiani.) (German) Zbl 0985.35001 Springer-Lehrbuch. Berlin: Springer. xiv, 392 S. (2002). MSC: 35-01 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Tveito} and \textit{R. Winther}, Einführung in partielle Differentialgleichungen. Ein numerischer Zugang. Übersetzt aus dem Englischen von Hanna Peywand Kiani. Berlin: Springer (2002; Zbl 0985.35001)