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Asymptotic expansion of solutions of a singularly perturbed boundary-value problem

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Nonlinear Oscillations

Abstract

For linear singularly perturbed systems of ordinary differential equations, we construct an asymptotic expansion of a solution by using the method of boundary functions. Using pseudoinverse matrices and projections, we find all terms of the asymptotic expansion in the noncritical case.

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Authors and Affiliations

  1. Sofia, Bulgaria

    L. I. Karandjulov

Authors
  1. L. I. Karandjulov
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Additional information

Translated from Neliniini Kolyvannya, Vol. 7, No. 2, pp. 155–168, April–June, 2004.

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Karandjulov, L.I. Asymptotic expansion of solutions of a singularly perturbed boundary-value problem. Nonlinear Oscill 7, 154–167 (2004). https://doi.org/10.1007/s11072-005-0002-1

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  • DOI: https://doi.org/10.1007/s11072-005-0002-1

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