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Bifurcation of solutions of an impulsive boundary-value problem

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Nonlinear Oscillations

Abstract

We establish constructive conditions for the bifurcation of solutions and construct an iteration procedure for finding solutions of a linear Noether boundary-value problem for a system of ordinary differential equations with pulse action in the critical case. We obtain an estimate for the range of values of a small parameter for which the iteration procedure converges.

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Authors and Affiliations

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

    A. A. Boichuk

  2. Slavyansk Pedagogic University, Slavyansk, Ukraine

    S. M. Chuiko

Authors
  1. A. A. Boichuk
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  2. S. M. Chuiko
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Correspondence to A. A. Boichuk.

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Translated from Neliniini Kolyvannya, Vol. 11, No. 1, pp. 21–31, January–March, 2007.

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Boichuk, A.A., Chuiko, S.M. Bifurcation of solutions of an impulsive boundary-value problem. Nonlinear Oscill 11, 18–28 (2008). https://doi.org/10.1007/s11072-008-0011-y

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  • DOI: https://doi.org/10.1007/s11072-008-0011-y

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