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A method of asymptotic expansion of an m-parameter family of solutions for a quasilinear system of differential equations

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Abstract

By using the method of asymptotic expansion of an m-parameter family of solutions, we obtain the asymptotic expansion of solutions of a quasilinear system of differential equations.

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References

  1. Yu. A. Mitropol’skii and A. M. Samoilenko, General Problems in the Theory of Asymptotic Integration of Systems of Nonlinear Mechanics [in Russian], Preprint No. 87.41, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).

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  4. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. A. Él’nazarov

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  1. A. A. Él’nazarov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 445–450, March, 1998.

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Él’nazarov, A.A. A method of asymptotic expansion of an m-parameter family of solutions for a quasilinear system of differential equations. Ukr Math J 50, 507–513 (1998). https://doi.org/10.1007/BF02528817

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  • DOI: https://doi.org/10.1007/BF02528817

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