EXISTENCE OF SOLUTIONS OF QUASILINEAR INTEGRODIFFERENTIAL EVOLUTION EQUATIONS IN BANACH SPACES

被引：11

作者：

Balachandran, Krishnan ^{[1
]}

Park, Dong Gun ^{[2
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

[2] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 04期

关键词：

existence of solution; quasilinear integrodifferential equation; analytic semigroup; fixed point theorem; CONVERGENCE;

D O I：

10.4134/BKMS.2009.46.4.691

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the local existence of classical solutions of quasilinear integrodifferential equations in Banach spaces. The results axe obtained by using fractional powers of operators and the Schauder fixed-point theorem. An example is provided to illustrate the theory.

引用

页码：691 / 700

页数：10

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