2014•Siberian Mathematical JournalRequires access

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

М. С. Сгибнев

Abstract

We obtain an asymptotic expansion for a solution to a nonhomogeneous retarded- or neutraltype 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.

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Key concepts: Mathematics, Matrix difference equation, Remainder, Infinity, Differential equation, Mathematical analysis, Matrix differential equation, Matrix (chemical analysis)