This article is cited in 2 papers

An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We obtain an asymptotic expansion of the solution to a system of first order integrodifferential equations taking into account the influence of the roots of the characteristic equation. We establish exact asymptotics for the remainder in dependence on the asymptotic properties of original functions.

Keywords: system of integrodifferential equations, asymptotic expansion, characteristic equation, exact asymptotics for the remainder.

UDC: 517.9

Received: 20.12.2006
Revised: 28.03.2007

 English version: Siberian Mathematical Journal, 2008, 49:3, 524–538

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