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Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace

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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.

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References

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Authors and Affiliations

  1. National University of Science and Technology “MISIS,”, Leninskii pr. 4, Moscow, 119049, Russia

    V. A. Trenogin & L. R. Kim-Tyan

  2. Ulyanovsk State Technical University, ul. Severnyi Venets 32, Ulyanovsk, 432027, Russia

    B. V. Loginov

Authors
  1. V. A. Trenogin
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  2. B. V. Loginov
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  3. L. R. Kim-Tyan
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Correspondence to V. A. Trenogin.

Additional information

Original Russian Text © V.A. Trenogin, B.V. Loginov, L.R. Kim-Tyan, 2012, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Vol. 278, pp. 260–268.

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Trenogin, V.A., Loginov, B.V. & Kim-Tyan, L.R. Stability of solutions to the Cauchy problem with respect to linear approximation, and branching equation in the root subspace. Proc. Steklov Inst. Math. 278, 251–259 (2012). https://doi.org/10.1134/S0081543812060247

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