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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 260–268 (Mi tm3410)  
Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace

V. A. Trenogina, B. V. Loginovb, L. R. Kim-Tyana

a National University of Science and Technology «MISIS», Moscow, Russia
b Ulyanovsk State Technical University, Ulyanovsk, Russia
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Abstract: V. A. Trenogin's results on the stability of solutions to the Cauchy problem for differential equations in Banach spaces with respect to linear approximation in the case of degenerate linearization are presented from the viewpoint of branching equation in the root subspace.
Received in April 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 251–259
DOI: https://doi.org/10.1134/S0081543812060247
Bibliographic databases:
Document Type: Article
UDC: 517.988.67
Language: Russian
Citation: 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”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 260–268; Proc. Steklov Inst. Math., 278 (2012), 251–259
Citation in format AMSBIB
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\paper Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\vol 278
\pages 260--268
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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