A Spline-Projection Method for Ill-Posed Integrodifferential Equations

被引：0
|
作者：
Agachev, Yu. R. [1 ]
机构：
[1] Kazan VI Lenin State Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia
来源：
RUSSIAN MATHEMATICS | 2008年 / 52卷 / 09期
关键词：
Sobolev space; integrodifferential equation; polynomial spline; projection method; convergence;
D O I：
10.3103/S1066369X08090016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the general linear boundary value problem for ill-posed integrodifferential equations of an arbitrarily fixed finite order. We theoretically substantiate one version of the general spline-projection method. In particular, the obtained general results allow us to deduce the convergence of the spline methods of collocation and subdomains.
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页码：1 / 8
页数：8
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