EXISTENCE RESULTS FOR ABSTRACT NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：19

作者：

Hernandez, Eduardo ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, Brazil

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 10期

关键词：

Neutral equations; mild solutions; classical solutions; INTEGRODIFFERENTIAL EQUATIONS; UNBOUNDED DELAY; BANACH-SPACES; HEAT CONDUCTION; MEMORY; INCLUSIONS;

D O I：

10.1090/S0002-9939-09-09934-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss the existence of solutions for a class of abstract partial neutral functional differential equations.

引用

页码：3309 / 3318

页数：10

共 25 条

[1] A class of linear partial neutral functional differential equations with nondense domain
Adimy, M
Ezzinbi, K
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 147 (02) : 285 - 332
[2] [Anonymous], APPL MATH SCI
[3] [Anonymous], 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7
[4] Existence of solutions of neutral functional integrodifferential equation in Banach spaces
Balachandran, K
Sakthivel, R
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1999, 109 (03): : 325 - 332
[5] Existence of solutions of nonlinear abstract neutral integrodifferential equations
Balachandran, K
Shija, G
Kim, JH
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 48 (10-11) : 1403 - 1414
[6] Nonlocal Cauchy problems for neutral functional differential and integrodifferential inclusions in Banach spaces
Benchohra, M
Ntouyas, SK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 258 (02) : 573 - 590
[7] Existence results for impulsive multivalued semilinear neutral functional differential inclusions in Banach spaces
Benchohra, M
Henderson, J
Ntouyas, SK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (02) : 763 - 780
[8] Global solutions of abstract semilinear parabolic equations with memory terms
Cannarsa, P
Sforza, D
[J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2003, 10 (04): : 399 - 430
[9] GLOBAL EXISTENCE FOR A SEMILINEAR PARABOLIC VOLTERRA EQUATION
CLEMENT, P
PRUSS, J
[J]. MATHEMATISCHE ZEITSCHRIFT, 1992, 209 (01) : 17 - 26
[10] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF NON-LINEAR VOLTERRA-EQUATIONS WITH COMPLETELY POSITIVE KERNELS
CLEMENT, P
NOHEL, JA
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (04) : 514 - 535

← 1 2 3 →