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Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems

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Abstract

We construct an asymptotic expansion of a boundary-value problem for a singularly perturbed system of differential equations with the right-hand side discontinuous at certain surface.

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References

  1. A. B. Vasil'eva and V.F. Butuzov,Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian] Nauka, Moscow (1973).

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  2. T. A. Mel'nik, “Asymptotics of a solution of a discontinous singularly perturbed Cauchy problem,”Ukr. Mat. Zh.,46, No. 11, 1502–1508 (1994).

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  3. V. A. Plotnikov,Asymptotic Methods in the Theory of Differential Equations with Discontinuous Right-Hand Side [in Russian], Preprint 93.27, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1993).

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Authors
  1. T. A. Mel'nik
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Additional information

Odessa University, Odessa. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 861–864, June, 1999.

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Mel'nik, T.A. Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems. Ukr Math J 51, 963–967 (1999). https://doi.org/10.1007/BF02591985

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  • DOI: https://doi.org/10.1007/BF02591985

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