Ukrainian Mathematical Journal

, Volume 54, Issue 11, pp 1842–1858 | Cite as

Solutions of Weakly-Perturbed Linear Systems Bounded on the Entire Axis

  • A. M. Samoilenko
  • A. A. Boichuk
  • An. A. Boichuk
Article

Abstract

We establish conditions under which solutions of weakly-perturbed systems of linear ordinary differential equations bounded on the entire axis R emerge from the point ε = 0 in the case where the corresponding unperturbed homogeneous linear differential system is exponentially dichotomous on the semiaxes R+ and R.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  • A. A. Boichuk
    • 1
  • An. A. Boichuk
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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