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Trenogin, Vladilen Aleksandrovich
(1931–2013)
Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 34

Number of views:
This page:3572
Abstract pages:10509
Full texts:4486
References:301
Professor
Doctor of physico-mathematical sciences (1967)
Birth date: 12.08.1931
   
Main publications:
  • Teoriya vetvleniya reshenii nelineinykh uravnenii / M. M. Vainberg, V. A. Trenogin. - Moskva : Nauka, 1969. - 527 s. : chert.
  • Funktsionalnyi analiz : [Per. s rus.] / V. Trenogin. - Moskva : Mir, 1985. - 528 s. : il.
  • Zadachi i uprazhneniya po funktsionalnomu analizu : Ucheb. pos. dlya stud. ... po spets. "Matematika" i "Priklad. matematika" / V.A. Trenogin, B.M. Pisarevskii, T.S. Soboleva. - 2. izd., ispr. i dop. - Moskva : Fizmatlit, 2002. - 239 s.; 22 sm.; ISBN 5-9221-0271-0
  • Metody matematicheskoi fiziki. - Moskva; Izhevsk : Institut kompyuternykh issledovanii; Regulyarnaya i khaoticheskaya dinamika, 2002. - [165] s.; ISBN 5-93972-176-1
  • Nelineinyi analiz i nelineinye differentsialnye uravneniya. - Moskva : Fizmatlit, 2002. - [466] s.; ISBN 5-9221-0301-6
  • Uravneniya v chastnykh proizvodnykh [Elektr. resurs] : ucheb. dlya stud. ... po spets. "Prikladnaya matematika" i fiziko-khimich. spets. / V. A. Trenogin, I. S. Nedosekina. - Moskva : Fizmatlit, 2013. - 225, [1] s. : il., portr.; 22 sm.; ISBN 978-5-9221-1448-6

https://www.mathnet.ru/eng/person23690
https://ru.wikipedia.org/wiki/Trenogin,_Vladilen_Aleksandrovich
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:trenogin.vladilen-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/211892
https://elibrary.ru/author_items.asp?authorid=7992

Publications in Math-Net.Ru Citations
2012
1. V. A. Trenogin, B. V. Loginov, L. R. Kim-Tyan, “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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 251–259  isi  elib  scopus
2011
2. V. A. Trenogin, “О моем незабвенном учителе”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011),  135–142  mathnet
2010
3. V. A. Trenogin, B. V. Loginov, L. R. Kim-Tyan, “Solutions stability on linear approximation to Cauchy problem , branching equation in the root subspace, symmetry”, Zhurnal SVMO, 12:3 (2010),  8–17  mathnet
1998
4. B. V. Loginov, V. A. Trenogin, “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  mathnet  mathscinet; Differ. Equ., 34:8 (1998), 1104–1110
5. V. A. Trenogin, “Lyusternik's Theorem and the Best Parametrization of Solutions to Nonlinear Equations”, Funktsional. Anal. i Prilozhen., 32:1 (1998),  87–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:1 (1998), 68–71  isi 7
1996
6. V. A. Trenogin, “Global invertibility of nonlinear operators and the parameter continuation method”, Dokl. Akad. Nauk, 350:4 (1996),  455–457  mathnet  mathscinet  zmath 3
7. V. A. Trenogin, “Locally Invertible Operators and the Method of Continuation with Respect to Parameter”, Funktsional. Anal. i Prilozhen., 30:2 (1996),  93–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:2 (1996), 147–148  isi 11
1989
8. V. A. Trenogin, N. A. Sidorov, B. V. Loginov, “The bifurcation equation: potentiality, bifurcation, symmetry”, Dokl. Akad. Nauk SSSR, 309:2 (1989),  286–289  mathnet  mathscinet  zmath; Dokl. Math., 40:3 (1990), 517–520 4
1986
9. V. A. Trenogin, I. S. Nedosekina, “Solutions of nonlinear parabolic equations describing the phenomenon of self-organization”, Differ. Uravn., 22:9 (1986),  1631–1633  mathnet  mathscinet  zmath 1
1980
10. N. A. Sidorov, V. A. Trenogin, “Regularization of linear controls on the basis of perturbation theory”, Differ. Uravn., 16:11 (1980),  2039–2049  mathnet  mathscinet  zmath 4
11. B. G. Razumeiko, V. A. Trenogin, “Regularization of approximation schemes in the case of a Fredholm equation”, Differ. Uravn., 16:6 (1980),  1132–1134  mathnet  mathscinet  zmath 1
1978
12. V. A. Trenogin, N. A. Sidorov, “Regularization of simple solutions of nonlinear equations in the neighborhood of a bifurcation point”, Sibirsk. Mat. Zh., 19:1 (1978),  180–185  mathnet  mathscinet  zmath; Siberian Math. J., 19:1 (1978), 128–132  isi 4
1976
13. N. A. Sidorov, V. A. Trenogin, “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  mathnet  mathscinet  zmath 1
14. N. A. Sidorov, V. A. Trenogin, “A certain approach to the problem of regularization on the basis of the perturbation of linear operators”, Mat. Zametki, 20:5 (1976),  747–752  mathnet  mathscinet  zmath; Math. Notes, 20:5 (1976), 976–979 4
15. V. A. Trenogin, N. A. Sidorov, “Tihonov regularization of the problem of bifurcation points of nonlinear operators”, Sibirsk. Mat. Zh., 17:2 (1976),  402–413  mathnet  mathscinet  zmath; Siberian Math. J., 17:2 (1976), 314–323  isi 5
1975
16. B. V. Loginov, V. A. Trenogin, “The use of group invariance in branching theory”, Differ. Uravn., 11:8 (1975),  1518–1521  mathnet  mathscinet  zmath 5
1974
17. B. G. Razumeiko, G. A. Tirskii, V. A. Trenogin, “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  mathnet  mathscinet  zmath 1
1971
18. V. A. Trenogin, “Approximations on families of Banach spaces and solvability of linear equations”, Dokl. Akad. Nauk SSSR, 201:6 (1971),  1288–1291  mathnet  mathscinet  zmath 2
19. V. A. Trenogin, B. V. Loginov, “On the application of continuous groups in the theory of branching”, Dokl. Akad. Nauk SSSR, 197:1 (1971),  36–39  mathnet  mathscinet  zmath 1
20. B. V. Loginov, V. A. Trenogin, “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  mathnet  mathscinet  zmath; Math. USSR-Sb., 14:3 (1971), 438–452 18
1970
21. V. A. Trenogin, “The development and applications of the asymptotic method of Lyusternik and Vishik”, Uspekhi Mat. Nauk, 25:4(154) (1970),  123–156  mathnet  mathscinet  zmath; Russian Math. Surveys, 25:4 (1970), 119–156 48
1967
22. A. M. Ter-Krikorov, V. A. Trenogin, “Solutions of long wave type for quasilinear elliptic equations in an unbounded strip”, Differ. Uravn., 3:3 (1967),  496–508  mathnet  mathscinet  zmath 2
1966
23. V. A. Trenogin, “Boundary value problems for abstract elliptic equations”, Dokl. Akad. Nauk SSSR, 170:5 (1966),  1028–1031  mathnet  mathscinet  zmath 4
24. V. A. Trenogin, “Perturbation of the eigenvalues and eigenelements of linear operators”, Dokl. Akad. Nauk SSSR, 167:3 (1966),  519–522  mathnet  mathscinet  zmath 1
1964
25. V. A. Trenogin, “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  mathnet  mathscinet  zmath 2
1963
26. V. A. Trenogin, “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  mathnet  mathscinet  zmath 4
27. M. M. Vainberg, V. A. Trenogin, “Theory of the branching of solutions of nonlinear equations”, Uspekhi Mat. Nauk, 18:5(113) (1963),  223–224  mathnet
28. A. M. Ter-Krikorov, V. A. Trenogin, “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  mathnet  mathscinet  zmath 2
1962
29. M. M. Vainberg, V. A. Trenogin, “On the theory of implicit functions”, Uspekhi Mat. Nauk, 17:5(107) (1962),  185–186  mathnet
30. M. M. Vainberg, V. A. Trenogin, “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  mathnet  mathscinet  zmath; Russian Math. Surveys, 17:2 (1962), 1–60 92
1961
31. V. A. Trenogin, “Perturbation of a linear equation by a small nonlinear term”, Dokl. Akad. Nauk SSSR, 140:2 (1961),  311–313  mathnet  mathscinet  zmath 1
32. V. A. Trenogin, “Asymptotic behaviour of solutions of almost linear parabolic equations with parabolic boundary layers”, Uspekhi Mat. Nauk, 16:1(97) (1961),  163–169  mathnet  mathscinet  zmath 5
1960
33. V. A. Trenogin, “Branching equations and Newton diagram”, Dokl. Akad. Nauk SSSR, 131:5 (1960),  1032–1035  mathnet  mathscinet  zmath 1
1958
34. V. A. Trenogin, “Branching of solutions of non-linear equations in Banach space”, Uspekhi Mat. Nauk, 13:4(82) (1958),  197–203  mathnet  mathscinet  zmath 4

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