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Asymptotic equivalence of abstract impulsive differential equations

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Abstract

The notion of (h, k)-dichotomy is introduced, which is a generalization of the classical exponential dichotomy. By means of the Schauder-Tychonoff theorem an asymptotic equivalence is proved between a linear impulsive differential equation which is (h, k)-dichotomous and the corresponding perturbed nonlinear equation.

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Authors and Affiliations

  1. Department of Mathematics, South-Western University, Blagoevgrad, Bulgaria

    D. D. Bainov

  2. Department of Mathematics, Plovdiv University “Paissii Hilendarski,”, Plovdiv, Bulgaria

    S. I. Kostadinov

  3. Department of Mathematics, Moscow Institute of Railway Engineering, Moscow, Russia

    A. D. Myshkis

Authors
  1. D. D. Bainov
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  2. S. I. Kostadinov
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  3. A. D. Myshkis
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Bainov, D.D., Kostadinov, S.I. & Myshkis, A.D. Asymptotic equivalence of abstract impulsive differential equations. Int J Theor Phys 35, 383–393 (1996). https://doi.org/10.1007/BF02083822

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  • DOI: https://doi.org/10.1007/BF02083822

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