Opuscula Mathematica

Opuscula Math.
, no. 3
 (), 465-470
Opuscula Mathematica

Construction of an integral manifold for linear differential-difference equations

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.
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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ISSN 1232−9274, e-ISSN 2300−6919, DOI https://doi.org/10.7494/OpMath
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