Rudykh Gennadiy Alekseevich

Publications in Math-Net.Ru

1. Research of compatibility of the redefined system for the multidimensional nonlinear heat equation
   
   Mathematical notes of NEFU, 25:1 (2018),  50–62
2. Research of compatibility of the redefined system for the multidimensional nonlinear heat equation (special case)
   
   Bulletin of Irkutsk State University. Series Mathematics, 18 (2016),  93–109
3. Stability of systems with random initial data
   
   Bulletin of Irkutsk State University. Series Mathematics, 10 (2014),  44–61
4. Construction of exact solutions of one-dimensional nonlinear diffusion method of linear invariant subspaces
   
   Bulletin of Irkutsk State University. Series Mathematics, 6:4 (2013),  69–84
5. On the most probable (typical) trajectory of the nonautonomous system of ordinary differential equations
   
   Bulletin of Irkutsk State University. Series Mathematics, 5:3 (2012),  104–111
6. Properties of the integral curve and solving of non-autonomous system of ordinary differential equations
   
   Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012),  7–17
7. Relationship of Liouville's theorem to the stability of motion of nonlinear systems of differential equations
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 7,  82–90
8. Analysis of the stationary solutions for initial boundary value problem of nonlocal parabolic equation of plasma physics
   
   Bulletin of Irkutsk State University. Series Mathematics, 3:2 (2010),  61–87
9. Solvability of nonlinear boundary-value problems arising in modeling plasma diffusion across a magnetic field and its equilibrium configurations
   
   Mat. Zametki, 77:2 (2005),  219–234
10. Exact Non-Self-Similar Solutions of the Equation
    
    Mat. Zametki, 70:5 (2001),  787–792
11. Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II
    
    Sibirsk. Mat. Zh., 42:1 (2001),  176–195
12. Non-self-similar solutions of multidimensional nonlinear diffusion equations
    
    Mat. Zametki, 67:2 (2000),  250–256
13. Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. I
    
    Sibirsk. Mat. Zh., 41:5 (2000),  1144–1166
14. Exact nonnegative solutions of the multidimensional nonlinear diffusion equation
    
    Sibirsk. Mat. Zh., 39:5 (1998),  1131–1140
15. On new exact solutions of the one-dimensional nonlinear diffusion equation with a source (sink)
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  971–977
16. New exact solutions of the one-dimensional nonlinear diffusion equation
    
    Sibirsk. Mat. Zh., 38:5 (1997),  1130–1139
17. Lax representations and Bäcklund transformations for one-dimensional nonlinear evolution equations
    
    Sibirsk. Mat. Zh., 36:1 (1995),  164–176
18. The construction of exact solutions of the multidimensional quasilinear heat-conduction equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:8 (1993),  1228–1239
19. Some families of solutions of the Vlasov–Maxwell system and their stability
    
    Mat. Model., 2:12 (1990),  88–101
20. Nonstationary solutions of the two-particle Vlasov–Maxwell system
    
    Dokl. Akad. Nauk SSSR, 307:6 (1989),  1354–1357
21. Bifurcating stationary solutions of a two-particle Vlasov-Maxwell system
    
    Dokl. Akad. Nauk SSSR, 304:5 (1989),  1109–1112
22. Existence of stationary solutions of Vlasov–Maxwell equations and some of their exact solutions
    
    Mat. Model., 1:6 (1989),  95–107
23. Stationary solutions of a system of Vlasov–Maxwell equations
    
    Dokl. Akad. Nauk SSSR, 302:3 (1988),  594–597
24. Investigation of generalized Liouville equation
    
    TMF, 46:3 (1981),  414–425


25. To the 70th anniversary of professor V. F. Chistyakov
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:4 (2018),  169–176