Approximations of solutions to neutral functional differential equations with nonlocal history conditions

被引：12

作者：

Bahuguna, D ^{[1
]}

Agarwal, S ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 317卷 / 02期

关键词：

Faedo-Galerkin approximation; analytic semigroup; nonlocal history condition;

D O I：

10.1016/j.jmaa.2005.07.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo-Galerkin approximation of solution is shown. For illustration, an example is worked out. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：583 / 602

页数：20

共 16 条

[1] Existence, uniqueness and regularity of solutions to semilinear nonlocal functional differential problems [J].

Bahuguna, D .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (7-8) :1021-1028

[2] Approximations of solutions to semilinear integrodifferential equations [J].

Bahuguna, D ;

Srivastava, SK ;

Singh, S .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2001, 22 (5-6) :487-504

[3]

BAHUGUNA D, 2003, J DIFFER EQUATIONS, P16

[4] Existence of solutions of neutral functional integrodifferential equation in Banach spaces [J].

Balachandran, K ;

Sakthivel, R .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1999, 109 (03) :325-332

[5]

Balachandran K, 1996, INDIAN J PURE AP MAT, V27, P443

[6] Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces [J].

Benchohra, M ;

Ntouyas, SK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (02) :573-590

[7] Existence of solutions of a semilinear functional-differential evolution nonlocal problem [J].

Byszewski, L ;

Akca, H .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (01) :65-72

[8] THEOREMS ABOUT THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF A SEMILINEAR EVOLUTION NONLOCAL CAUCHY-PROBLEM [J].

BYSZEWSKI, L .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 162 (02) :494-505

[9]

Byszewski L., 1991, Applicable Analysis, V40, P11

[10] Existence of solutions for neutral functional differential evolution equations with nonlocal conditions [J].

Fu, XL ;

Ezzinbi, K .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) :215-227

← 1 2 →