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
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; Proc. Steklov Inst. Math., 278 (2012), 251–259
2011
2.
V. A. Trenogin, “О моем незабвенном учителе”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011), 135–142
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
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; 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; Funct. Anal. Appl., 32:1 (1998), 68–71
V. A. Trenogin, “Locally Invertible Operators and the Method of Continuation with Respect to Parameter”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 93–95; Funct. Anal. Appl., 30:2 (1996), 147–148
V. A. Trenogin, N. A. Sidorov, B. V. Loginov, “The bifurcation equation: potentiality, bifurcation, symmetry”, Dokl. Akad. Nauk SSSR, 309:2 (1989), 286–289; Dokl. Math., 40:3 (1990), 517–520
V. A. Trenogin, I. S. Nedosekina, “Solutions of nonlinear parabolic equations describing the phenomenon of self-organization”, Differ. Uravn., 22:9 (1986), 1631–1633
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; Siberian Math. J., 19:1 (1978), 128–132
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
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; Math. Notes, 20:5 (1976), 976–979
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; Siberian Math. J., 17:2 (1976), 314–323
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
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; Math. USSR-Sb., 14:3 (1971), 438–452
V. A. Trenogin, “The development and applications of the asymptotic method of Lyusternik and Vishik”, Uspekhi Mat. Nauk, 25:4(154) (1970), 123–156; Russian Math. Surveys, 25:4 (1970), 119–156
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
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
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
M. M. Vainberg, V. A. Trenogin, “Theory of the branching of solutions of nonlinear equations”, Uspekhi Mat. Nauk, 18:5(113) (1963), 223–224
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
M. M. Vainberg, V. A. Trenogin, “On the theory of implicit functions”, Uspekhi Mat. Nauk, 17:5(107) (1962), 185–186
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; Russian Math. Surveys, 17:2 (1962), 1–60
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