An asymptotic expansion of the solution to a system of integrodifferential equations with exact asymptotics for the remainder期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	M.?S.?Sgibnev author-information" > author-information__contact u-icon-before" > mailto:sgibnev@math.nsc.ru" title=" sgibnev@math.nsc.ru" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	(1) Sobolev Institute of Mathematics, Novosibirsk, Russia

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
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