Trenogin Vladilen Aleksandrovich

Publications in Math-Net.Ru

1. Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace
   
   Trudy Mat. Inst. Steklova, 278 (2012),  260–268
2. О моем незабвенном учителе
   
   Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011),  135–142
3. Solutions stability on linear approximation to Cauchy problem , branching equation in the root subspace, symmetry
   
   Zhurnal SVMO, 12:3 (2010),  8–17
4. A problem with a free boundary for the Laplace equation, capillary-gravitational waves in space, bifurcation and symmetry
   
   Differ. Uravn., 34:8 (1998),  1100–1106
5. Lyusternik's Theorem and the Best Parametrization of Solutions to Nonlinear Equations
   
   Funktsional. Anal. i Prilozhen., 32:1 (1998),  87–90
6. Global invertibility of nonlinear operators and the parameter continuation method
   
   Dokl. Akad. Nauk, 350:4 (1996),  455–457
7. Locally Invertible Operators and the Method of Continuation with Respect to Parameter
   
   Funktsional. Anal. i Prilozhen., 30:2 (1996),  93–95
8. The bifurcation equation: potentiality, bifurcation, symmetry
   
   Dokl. Akad. Nauk SSSR, 309:2 (1989),  286–289
9. Solutions of nonlinear parabolic equations describing the phenomenon of self-organization
   
   Differ. Uravn., 22:9 (1986),  1631–1633
10. Regularization of linear controls on the basis of perturbation theory
    
    Differ. Uravn., 16:11 (1980),  2039–2049
11. Regularization of approximation schemes in the case of a Fredholm equation
    
    Differ. Uravn., 16:6 (1980),  1132–1134
12. Regularization of simple solutions of nonlinear equations in the neighborhood of a bifurcation point
    
    Sibirsk. Mat. Zh., 19:1 (1978),  180–185
13. Regularization of the computation of real solutions of nonlinear equations in the neighborhood of a branch point
    
    Dokl. Akad. Nauk SSSR, 228:5 (1976),  1049–1052
14. A certain approach to the problem of regularization on the basis of the perturbation of linear operators
    
    Mat. Zametki, 20:5 (1976),  747–752
15. Tihonov regularization of the problem of bifurcation points of nonlinear operators
    
    Sibirsk. Mat. Zh., 17:2 (1976),  402–413
16. The use of group invariance in branching theory
    
    Differ. Uravn., 11:8 (1975),  1518–1521
17. Existence and uniqueness theorems and asymptotic solutions for the self- similar boundary-value problem of a viscous hypersonic shock layer
    
    Dokl. Akad. Nauk SSSR, 219:4 (1974),  825–828
18. Approximations on families of Banach spaces and solvability of linear equations
    
    Dokl. Akad. Nauk SSSR, 201:6 (1971),  1288–1291
19. On the application of continuous groups in the theory of branching
    
    Dokl. Akad. Nauk SSSR, 197:1 (1971),  36–39
20. The use of group properties to determine milti-parameter families of solutions of nonlinear equations
    
    Mat. Sb. (N.S.), 85(127):3(7) (1971),  440–454
21. The development and applications of the asymptotic method of Lyusternik and Vishik
    
    Uspekhi Mat. Nauk, 25:4(154) (1970),  123–156
22. Solutions of long wave type for quasilinear elliptic equations in an unbounded strip
    
    Differ. Uravn., 3:3 (1967),  496–508
23. Boundary value problems for abstract elliptic equations
    
    Dokl. Akad. Nauk SSSR, 170:5 (1966),  1028–1031
24. Perturbation of the eigenvalues and eigenelements of linear operators
    
    Dokl. Akad. Nauk SSSR, 167:3 (1966),  519–522
25. Existence and asymptotic behaviour of solutions of “solitary wave” type for differential equations in a Banach space
    
    Dokl. Akad. Nauk SSSR, 156:5 (1964),  1033–1036
26. Existence and asymptotic behavior of the solution of the Cauchy problem for a first-order differential equation with small parameter in a Banach space
    
    Dokl. Akad. Nauk SSSR, 152:1 (1963),  63–66
27. Theory of the branching of solutions of nonlinear equations
    
    Uspekhi Mat. Nauk, 18:5(113) (1963),  223–224
28. Existence and asymptotic behaviour of solutions of “solitary wave” type for a class of non-linear elliptic equations
    
    Mat. Sb. (N.S.), 62(104):3 (1963),  264–274
29. On the theory of implicit functions
    
    Uspekhi Mat. Nauk, 17:5(107) (1962),  185–186
30. The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development
    
    Uspekhi Mat. Nauk, 17:2(104) (1962),  13–75
31. Perturbation of a linear equation by a small nonlinear term
    
    Dokl. Akad. Nauk SSSR, 140:2 (1961),  311–313
32. Asymptotic behaviour of solutions of almost linear parabolic equations with parabolic boundary layers
    
    Uspekhi Mat. Nauk, 16:1(97) (1961),  163–169
33. Branching equations and Newton diagram
    
    Dokl. Akad. Nauk SSSR, 131:5 (1960),  1032–1035
34. Branching of solutions of non-linear equations in Banach space
    
    Uspekhi Mat. Nauk, 13:4(82) (1958),  197–203