Opuscula Math. 26, no. 3 (2006), 465-470
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.
About the authors ▼
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
About the article ▼
Received: 2005-11-02.
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,
http://dx.doi.org/10.7494/OpMath.2006.26.3.465.
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