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http://dx.doi.org/10.4134/BKMS.2002.39.4.561

NONLOCAL CAUCHY PROBLEM FOR SOBOLEV TYPE FUNCTIONAL INTEGRODIFFERENTIAL EQUATION

Balachandran, K. (Department of Mathematics, Bharathiar University)
Park, Jong-Yeoul (Department of Mathematics, Pusan National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.4, 2002 , pp. 561-569 More about this Journal

Abstract

In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation of Sobolev type with nonlocal condition using the semigroup theory and the Banach fixed point principle.

Keywords

$C^0$ semigroup; Banach fixed point principle; functional integrodifferential equation; Sobolev type; nonlocal condition;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
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