EXISTENCE OF SOLUTIONS FOR NEUTRAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

被引：19

作者：

Fu, Xianlong ^{[1
]}

Gao, Yan ^{[1
]}

Zhang, Yu ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 05期

关键词：

Neutral integrodifferential equation; Analytic semigroup; Resolvent operator; Fractional power operator; Nonlocal condition; PARTIAL-DIFFERENTIAL-EQUATIONS; RESOLVENT OPERATORS; INTEGRAL-EQUATIONS; ALPHA-NORM; REGULARITY; DELAY; STABILITY;

D O I：

10.11650/twjm/1500406803

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the existence of mild solutions, strong solutions and strict solutions for a class of neutral integrodifferential equations with nonlocal conditions in Banach space. Since the nonlinear terms of the systems involve spacial derivatives, the theory of fractional power and alpha-norm is used to discuss the problem. In the end an example is provided to illustrate the applications of the obtained results.

引用

页码：1879 / 1909

页数：31

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