This article is cited in 2 papers

Behavior at infinity of a solution to a matrix differential-difference equation

M. S. Sgibnev

Sobolev Institute of Mathematics, Novosibirsk, Russia

Abstract: We obtain an asymptotic expansion for a solution to a nonhomogeneous retarded- or neutral-type differential-difference equation. The case of unbounded delays is considered. The influence is accounted for the roots of the characteristic equation. We establish the exact asymptotics for the remainder depending on the asymptotic properties of the free matrix term of the equation.

Keywords: matrix differential-difference equation, retarded-type equation, neutral-type equation, unbounded delay, asymptotic behavior, characteristic equation.

UDC: 517.929.8

Received: 18.06.2013

 English version: Siberian Mathematical Journal, 2014, 55:3, 530–543

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