V. A. Trenogin

751 total citations · 1 hit paper
19 papers, 447 citations indexed

About

V. A. Trenogin is a scholar working on Mathematical Physics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, V. A. Trenogin has authored 19 papers receiving a total of 447 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Mathematical Physics, 6 papers in Applied Mathematics and 4 papers in Numerical Analysis. Recurrent topics in V. A. Trenogin's work include Numerical methods in inverse problems (3 papers), Stability and Controllability of Differential Equations (3 papers) and Differential Equations and Numerical Methods (3 papers). V. A. Trenogin is often cited by papers focused on Numerical methods in inverse problems (3 papers), Stability and Controllability of Differential Equations (3 papers) and Differential Equations and Numerical Methods (3 papers). V. A. Trenogin collaborates with scholars based in Russia and Czechia. V. A. Trenogin's co-authors include M. M. Vaĭnberg and Н. А. Сидоров and has published in prestigious journals such as Chaos An Interdisciplinary Journal of Nonlinear Science, Russian Mathematical Surveys and Functional Analysis and Its Applications.

In The Last Decade

V. A. Trenogin

16 papers receiving 328 citations

Hit Papers

1 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Theory of branching of solutions of non-linear equations

1974 284 citations M. M. Vaĭnberg, V. A. Trenogin Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
V. A. Trenogin Russia	6	127	120	114	97	63	19	447
A. Libin United States	4	101 0.8×	153 1.3×	148 1.3×	116 1.2×	18 0.3×	6	381
R. Seydel Germany	11	142 1.1×	88 0.7×	32 0.3×	34 0.4×	114 1.8×	14	458
Lutz Recke Germany	12	177 1.4×	261 2.2×	195 1.7×	101 1.0×	60 1.0×	71	500
Ya. B. Rutitskii	3	154 1.2×	143 1.2×	112 1.0×	100 1.0×	29 0.5×	3	382
J. W. Neuberger United States	12	90 0.7×	151 1.3×	90 0.8×	174 1.8×	60 1.0×	64	474
Kenneth L. Bowers United States	13	362 2.9×	154 1.3×	118 1.0×	121 1.2×	65 1.0×	25	685
Giuseppe Alı̀ Italy	14	90 0.7×	66 0.6×	242 2.1×	184 1.9×	98 1.6×	60	529
Jerrold Bebernes United States	5	188 1.5×	231 1.9×	344 3.0×	166 1.7×	36 0.6×	5	595
A. P. Mikhailov Russia	8	184 1.4×	264 2.2×	381 3.3×	251 2.6×	62 1.0×	14	659
Nicholas D. Alikakos United States	15	122 1.0×	415 3.5×	332 2.9×	141 1.5×	51 0.8×	21	855

Countries citing papers authored by V. A. Trenogin

Since Specialization

Citations

This map shows the geographic impact of V. A. Trenogin's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by V. A. Trenogin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites V. A. Trenogin more than expected).

Fields of papers citing papers by V. A. Trenogin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by V. A. Trenogin. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by V. A. Trenogin. The network helps show where V. A. Trenogin may publish in the future.

Co-authorship network of co-authors of V. A. Trenogin

This figure shows the co-authorship network connecting the top 25 collaborators of V. A. Trenogin. A scholar is included among the top collaborators of V. A. Trenogin based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with V. A. Trenogin. V. A. Trenogin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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19 of 19 papers shown

Trenogin, V. A., et al.. (2010). New results in the stability study of non-autonomous evolution equations in Banach spaces. 33. 117–127. 2 indexed citations

Trenogin, V. A.. (2009). Linear approximations for differential equations in Banach spaces and Lyapunov stability. Doklady Mathematics. 80(2). 724–727.

Trenogin, V. A., et al.. (2007). ASYMPTOTIC STABILITY OF TRIVIAL SOLUTION OF DIFFERENTIAL EQUATIONS WITH UNBOUNDED NONLINEARITY, IN BANACH SPACES. 1 indexed citations

Trenogin, V. A.. (2006). The Lyapunov theorem on stability with respect to linear approximation as a corollary to the implicit operator theorem. Doklady Mathematics. 73(2). 292–295. 3 indexed citations

Trenogin, V. A.. (1998). Lyusternik's theorem and the best parametrization of solutions to nonlinear equations. Functional Analysis and Its Applications. 32(1). 68–71. 3 indexed citations

Trenogin, V. A. & V. A. Trenogin. (1998). Теорема Люстерника и наилучшая параметризация решений нелинейных уравнений. Функциональный анализ и его приложения. 32(1). 87–90. 4 indexed citations

Trenogin, V. A., et al.. (1997). Branching equation of Andronov-Hopf bifurcation under group symmetry conditions. Chaos An Interdisciplinary Journal of Nonlinear Science. 7(2). 229–238. 6 indexed citations

Trenogin, V. A.. (1996). Locally invertible operators and the method of continuation with respect to parameter. Functional Analysis and Its Applications. 30(2). 147–148. 2 indexed citations

Trenogin, V. A. & V. A. Trenogin. (1996). Локально обратимые операторы и метод продолжения по параметру. Функциональный анализ и его приложения. 30(2). 93–95. 5 indexed citations

10.

Сидоров, Н. А., et al.. (1990). Potentiality, group symmetry and bifurcation in the theory of branching equation. Differential and Integral Equations. 3(1). 3 indexed citations

11.

Trenogin, V. A. & Н. А. Сидоров. (1978). Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point. Siberian Mathematical Journal. 19(1). 128–132. 1 indexed citations

12.

Trenogin, V. A. & Н. А. Сидоров. (1976). The Tikhonov regularization of a problem on bifurcation points of nonlinear operators. Siberian Mathematical Journal. 17(2). 314–323. 4 indexed citations

13.

Сидоров, Н. А. & V. A. Trenogin. (1976). A certain approach to the problem of regularization on the basis of the perturbation of linear operators. Mathematical Notes. 20(5). 976–979. 2 indexed citations

14.

Trenogin, V. A., et al.. (1974). Existence and uniqueness theorems and asymptotic solutions for the self-similar boundary-value problem of a viscous hypersonic shock layer. Soviet physics. Doklady. 219. 820.

15.

Vaĭnberg, M. M. & V. A. Trenogin. (1974). Theory of branching of solutions of non-linear equations. Medical Entomology and Zoology. 284 indexed citations breakdown →

16.

Trenogin, V. A., et al.. (1971). THE USE OF GROUP PROPERTIES TO DETERMINE MULTI-PARAMETER FAMILIES OF SOLUTIONS OF NONLINEAR EQUATIONS. Mathematics of the USSR-Sbornik. 14(3). 438–452. 9 indexed citations

17.

Trenogin, V. A.. (1970). THE DEVELOPMENT AND APPLICATIONS OF THE ASYMPTOTIC METHOD OF LYUSTERNIK AND VISHIK. Russian Mathematical Surveys. 25(4). 119–156. 36 indexed citations

18.

Trenogin, V. A., et al.. (1968). On the buckling of flexible plates. Journal of Applied Mathematics and Mechanics. 32(4). 747–754. 5 indexed citations

19.

Vaĭnberg, M. M. & V. A. Trenogin. (1962). THE METHODS OF LYAPUNOV AND SCHMIDT IN THE THEORY OF NON-LINEAR EQUATIONS AND THEIR FURTHER DEVELOPMENT. Russian Mathematical Surveys. 17(2). 1–60. 77 indexed citations

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