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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