Boundary value problem for abstract first order differential equation with integral condition

被引：2

作者：

Denche, M. ^{[1
]}

Berkane, A. ^{[1
]}

机构：

[1] Univ Mentouri, Fac Sci, Dept Math, Lab Equat Differentielles, Constantine 25000, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 333卷 / 02期

关键词：

abstract differential equation; c(0)-semigroup; Fredholm property; integral condition; well-posed problem;

D O I：

10.1016/j.jmaa.2006.11.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper is devoted to the study of a boundary value problem for abstract first order linear differential equation with integral boundary conditions. We obtain necessary and sufficient conditions for the unique solvability and well-posedness. We also study the Fredhohn solvability. Finally, we obtain a result of the stability of solution with respect to small perturbation. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：657 / 666

页数：10

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