Opuscula Math. 26, no. 3 (2006), 465-470

Opuscula Mathematica

Construction of an integral manifold for linear differential-difference equations

Klara R. Janglajew
Kim G. Valeev

Abstract. In this paper we establish sufficient conditions for the existence of an asymptotic integral manifold of solutions of a linear system of differential-difference equations with a small parameter. This integral manifold is described by a linear system of differential equations without deviating argument.

Keywords: system with deviating argument, integral manifold of solutions, fundamental matrix, exponential dichotomy.

Mathematics Subject Classification: 34K06.

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  • Klara R. Janglajew
  • University of Białystok, Institute of Mathematics, 15-267 Białystok, Poland
  • Kim G. Valeev
  • Department of Mathematics, Kiev National University of Economics, 252057 Kiev, Ukraine
  • Received: 2005-11-02.
Opuscula Mathematica - cover

Cite this article as:
Klara R. Janglajew, Kim G. Valeev, Construction of an integral manifold for linear differential-difference equations, Opuscula Math. 26, no. 3 (2006), 465-470

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