Asymptotic expansion of the solution of an integro-differential equation with exact asymptotics of the remainder

被引：0
|
作者：
M. S. Sgibnev
机构：
[1] Russian Academy of Sciences,Institute for Mathematics, Siberian Branch
来源：
Differential Equations | 2008年 / 44卷
关键词：
Singular Point; Asymptotic Expansion; Characteristic Equation; Asymptotic Property; Maximal Ideal;
D O I：
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学科分类号：
摘要：
We obtain an asymptotic expansion of the solution of an integro-differential equation of order n with the influence of the roots of the characteristic equation taken into account. The exact asymptotics of the remainder is established depending on the asymptotic properties of the kernel and the free term of the equation.
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页码：551 / 566
页数：15
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