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Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side

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Abstract

The problem of the B-asymptotic representation, with respect to a small parameter, of solutions of a regularly perturbed system of differential equations with impulse action on surfaces and of differential equations with discontinuous righthand side is considered. Theorems concerning the B-analytic dependence of solutions on the small parameter are proved. Algorithms for calculating the coefficients of the expansion are developed.

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Authors and Affiliations

  1. Kiev University, USSR

    M. U. Akhmetov & N. A. Perestyuk

Authors
  1. M. U. Akhmetov
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  2. N. A. Perestyuk
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Additional information

Translated from Ukrainskii Maternaticheskii Zhurnal, Vol. 43, No. 10, pp. 1298–1304, October, 1991.

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Akhmetov, M.U., Perestyuk, N.A. Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side. Ukr Math J 43, 1209–1214 (1991). https://doi.org/10.1007/BF01061803

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  • DOI: https://doi.org/10.1007/BF01061803

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