Opuscula Math.
26
, 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.