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Some current problems in modern mathematics and education in mathematics. Papers from the 61st Scientific Conference “Gertsen Lectures – 2008”, Sankt Petersburg, Russia, April 14–19, 2008. (Некоторые актуальные проблемы современной математики и математического образования. Материалы научной конференции “Герценовские чтения 2008”.) (Russian) Zbl 1135.00008
St. Peterburg: Rossiĭskiĭ Gosudarstvennyĭ Pedagogicheskiĭ Universitet Im. A. I. Gertsena (ISBN 5-336-00055-8/pbk). 187 p. (2008).

Show indexed articles as search result.

The preceding conference (60, 2007) has been reviewed (see Zbl 1115.00011).
The 42 papers in this collection, all in Russian, include the following: A. V. Aksenov, Exact solutions of equations describing the motion of absolutely unstable media (3–9); E. A. Barova, A boundary value problem for an equation of mixed type with special conjugation conditions (9–12); A. K. Volosova and K. A. Volosov, A connection between quasilinear parabolic partial differential equation of the Burgers equation (17–20); V. N. Gorbuzov and A. F. Pronevich, First integrals of a linear multidimensional differential system in a complex domain (25–31); O. M. Dzyuba and V. F. Zaĭtsev, On nonclassical symmetries of ordinary differential equations (31–35); S. M. Evdokimov, Necessary and sufficient conditions for the existence of a limit cycle in a two-dimensional system with hysteresis (35–39); S. V. Zhestkov, On the existence of soliton solutions of a system of Redekopp equations with a power nonlinearity law and a doubled period law (39–43); V. F. Zaĭtsev and K. V. Pavlyukov, Solution of direct and inverse problems of group analysis for systems of second-order equations (44–49); V. F. Zaĭtsev and A. A. Petrushenko, On the classification of nonlocal exponential operators (49–55);
V. F. Zaĭtsev and Yu. O. Yakovleva, A three-dimensional unsolvable Lie algebra admitted by a third-order differential equation, and its subalgebras (56–58); O. M. Kechina, On a nonlocal problem with integral conditions (59–62); I. V Konopleva, B. V. Loginov and L. V. Mironova, Branching and stability of bifurcating solutions of nonlinear problems that are spectral in the sense of E. Schmidt (64–71); D. V. Kostin, Two-mode bifurcations of solutions of the von Kármán equation in the case of a weakly inhomogeneous plate (71–73); V. I. Lagno and S. V. Spichak, Group classification of quasilinear equations of elliptic type with respect to solvable Lie algebras (75–79); V. I. Lagno and V. I. Stogniĭ, Symmetry and separation of variables for the Kolmogorov equation (79–83); L. V. Linchuk, The structure of a nonlocal operator for factorizable second-order partial differential equations (83–90); L. N. Lyakhov, E. M. Merzlikina and L. B. Raĭkhel’gauz, On integral transforms associated with the Bessel transform (90–94); A. A. Migunov, Averaging of systems of differential inclusions with fast and slow variables in the case when the fast variables have different rates (95–102);
V. S. Nemets and P. B. Pavlyuchik, Properties of meromorphic solutions of algebraic differential equations (102–107); P. F. Pronevich, On singular and nonsingular powers of parametric solutions of algebraic differential equations (107–111); V. S. Fedotova, On a nonlinear Sturm-Liouville boundary value problems (115–118); O. P. Filatov, On nondegenerate differential inclusions (118–121); Yu. I. Khanukaev, An electromagnetic field as the field of quaternions (121–128); G. N. Yakovenko, Symmetries of statically linearizable systems with control (128–133); V. S. Videnskiĭ, A remark on the rational linear operators considered by A. Lupas (134–146); A. V. Koldunov, \((X,\pi)\)-Dedekind elements of vector lattices (148–152); Włodzimierz P. Odyniec, \(t\)-entropy of the Boltzmann function and properties of its restrictions (152–157); E. A. Riss, On a defining family of sets for measures on Banach spaces (160–168).
The articles of mathematical interest will be reviewed individually.
Indexed articles:
Aksenov, A. V., Exact solutions of equations describing the motion of absolutely unstable media, 3-9 [Zbl 1238.35004]
Barova, E. A., A boundary value problem for an equation of mixed type with special conjugation conditions, 9-12 [Zbl 1238.35063]
Volosova, A. K.; Volosov, K. A., A connection between quasilinear parabolic partial differential equation of the Burgers equation, 17-20 [Zbl 1238.35049]
Gorbuzov, V. N.; Pronevich, A. F., First integrals of a linear multidimensional differential system in a complex domain, 25-31 [Zbl 1238.34154]
Dzyuba, O. M.; Zaĭtsev, V. F., On nonclassical symmetries of ordinary differential equations, 31-35 [Zbl 1238.34060]
Evdokimov, S. M., Necessary and sufficient conditions for the existence of a limit cycle in a two-dimensional system with hysteresis, 35-39 [Zbl 1238.34094]
Zhestkov, S. V., On the existence of soliton solutions of a system of Redekopp equations with a power nonlinearity law and a doubled period law, 39-43 [Zbl 1238.35123]
Zaĭtsev, V. F.; Pavlyukov, K. V., Solution of direct and inverse problems of group analysis for systems of second-order equations, 44-49 [Zbl 1238.34063]
Zaĭtsev, V. F.; Petrushenko, A. A., On the classification of nonlocal exponential operators, 49-55 [Zbl 1238.34149]
Zaĭtsev, V. F.; Yakovleva, Yu. O., A three-dimensional unsolvable Lie algebra admitted by a third-order differential equation, and its subalgebras, 56-58 [Zbl 1238.34064]
Kechina, O. M., On a nonlocal problem with integral conditions, 59-62 [Zbl 1238.35053]
Konopleva, I. V; Loginov, B. V.; Mironova, L. V., Branching and stability of bifurcating solutions of nonlinear problems that are spectral in the sense of E. Schmidt, 64-71 [Zbl 1238.47041]
Kostin, D. V., Two-mode bifurcations of solutions of the von Kármán equation in the case of a weakly inhomogeneous plate, 71-73 [Zbl 1238.35154]
Lagno, V. I.; Spichak, S. V., Group classification of quasilinear equations of elliptic type with respect to solvable Lie algebras, 75-79 [Zbl 1238.35005]
Lagno, V. I.; Stogniĭ, V. I., Symmetry and separation of variables for the Kolmogorov equation, 79-83 [Zbl 1238.35006]
Linchuk, L. V., The structure of a nonlocal operator for factorizable second-order partial differential equations, 83-90 [Zbl 1238.35007]
Lyakhov, L. N.; Merzlikina, E. M.; Raĭkhel’gauz, L. B., On integral transforms associated with the Bessel transform, 90-94 [Zbl 1238.44002]
Migunov, A. A., Averaging of systems of differential inclusions with fast and slow variables in the case when the fast variables have different rates, 95-102 [Zbl 1238.34087]
Nemets, V. S.; Pavlyuchik, P. B., Properties of meromorphic solutions of algebraic differential equations, 102-107 [Zbl 1238.34016]
Pronevich, P. F., On singular and nonsingular powers of parametric solutions of algebraic differential equations, 107-111 [Zbl 1238.34153]
Fedotova, V. S., On a nonlinear Sturm-Liouville boundary value problems, 115-118 [Zbl 1238.34036]
Filatov, O. P., On nondegenerate differential inclusions, 118-121 [Zbl 1238.34028]
Khanukaev, Yu. I., An electromagnetic field as the field of quaternions, 121-128 [Zbl 1238.78002]
Yakovenko, G. N., Symmetries of statically linearizable systems with control, 128-133 [Zbl 1238.34062]
Videnskiĭ, V. S., A remark on the rational linear operators considered by A. Lupas, 134-146 [Zbl 1238.41015]
Koldunov, A. V., \((X,\pi)\)-Dedekind elements of vector lattices, 148-152 [Zbl 1238.46004]
Odyniec, Włodzimierz P., \(t\)-entropy of the Boltzmann function and properties of its restrictions, 152-157 [Zbl 1238.82031]
Riss, E. A., On a defining family of sets for measures on Banach spaces, 160-168 [Zbl 1238.28012]

MSC:
00B20 Proceedings of conferences of general interest
34-06 Proceedings, conferences, collections, etc. pertaining to ordinary differential equations
34C14 Symmetries, invariants of ordinary differential equations
35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
35A30 Geometric theory, characteristics, transformations in context of PDEs
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