Existence of solutions of abstract integrodifferential equation of Sobolev type with nonlocal condition

被引：0

作者：

Balachandran, K ^{[1
]}

Sasireka, R ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年

关键词：

existence of solutions; integrodifferential equations; Schauder fixed point theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the problem of existence of solutions of nonlinear integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. An application is given to illustrate the theory.

引用

页码：45 / 51

页数：7

共 18 条

[1] BALACHANDRAN K, 1994, INDIAN J PURE AP MAT, V25, P411
[2] CONTROLLABILITY OF NONLINEAR-SYSTEMS VIA FIXED-POINT THEOREMS
BALACHANDRAN, K
DAUER, JP
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 53 (03) : 345 - 352
[3] Balachandran K, 1996, INDIAN J PURE AP MAT, V27, P443
[4] BALACHANDRAN K, 2000, DYNAMIC SYSTEMS APPL, V9, P69
[5] Barenblatt G.I., 1960, PMM-J APPL MATH MEC, V24, p[852, 1286]
[6] SEMILINEAR SOBOLEV EVOLUTION EQUATION IN A BANACH-SPACE
BRILL, H
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 24 (03) : 412 - 425
[7] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM
BYSZEWSKI, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) : 494 - 505
[8] ON A THEORY OF HEAT CONDUCTION INVOLVING 2 TEMPERATURES
CHEN, PJ
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1968, 19 (04): : 614 - &
[9] Huilgol R. R., 1968, International Journal of Non-Linear Mechanics, V3, P471, DOI 10.1016/0020-7462(68)90032-2
[10] Ilamaran S., 1995, LIBERTAS MATH, V15, P119

← 1 2 →