On a New Class of Abstract Neutral Integro-Differential Equations and Applications

被引：16

作者：

Hernandez, Eduardo ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Univ Sao Paulo, Dept Comp & Matemat, Fac Filosofia Ciencias & Letras Ribeirao Preto, BR-14040901 Ribeirao Preto, SP, Brazil

[2] Natl Univ Ireland Galway, Sch Math Stat & Appl Math, Galway, Ireland

来源：

ACTA APPLICANDAE MATHEMATICAE | 2017年 / 149卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Integro-differential equation; Functional differential equations; Strict solution; Resolvent operator; Sectorial operator; HEAT-CONDUCTION; INFINITE DELAY; CONTROLLABILITY; EXISTENCE; SYSTEMS; OPERATORS; MEMORY;

D O I：

10.1007/s10440-016-0090-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new class of abstract integro-differential equations with delay and we study the existence of strict solutions. An application involving the heat equation with memory is presented.

引用

页码：125 / 137

页数：13

共 19 条

[1] Controllability for Semilinear Functional and Neutral Functional Evolution Equations with Infinite Delay in Fr,chet Spaces [J].

Agarwal, Ravi P. ;

Baghli, Selma ;

Benchohra, Mouffak .

APPLIED MATHEMATICS AND OPTIMIZATION, 2009, 60 (02) :253-274

[2] STABILIZATION OF SOME NONLINEAR HEREDITARY MECHANICAL SYSTEMS [J].

ANANJEVSKII, IM ;

KOLMANOVSKII, VB .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1990, 15 (02) :101-114

[3] Global solutions of abstract semilinear parabolic equations with memory terms [J].

Cannarsa, P ;

Sforza, D .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2003, 10 (04) :399-430

[4] Solvability for Impulsive Neutral Integro-Differential Equations with State-Dependent Delay via Fractional Operators [J].

Chang, Y. K. ;

Li, W. S. .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 144 (03) :445-459

[5] GLOBAL EXISTENCE FOR A SEMILINEAR PARABOLIC VOLTERRA EQUATION [J].

CLEMENT, P ;

PRUSS, J .

MATHEMATISCHE ZEITSCHRIFT, 1992, 209 (01) :17-26

[6] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS OF NON-LINEAR VOLTERRA-EQUATIONS WITH COMPLETELY POSITIVE KERNELS [J].

CLEMENT, P ;

NOHEL, JA .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1981, 12 (04) :514-535

[7] EXISTENCE AND REGULARITY FOR A CLASS OF INTEGRODIFFERENTIAL EQUATIONS OF PARABOLIC TYPE [J].

DAPRATO, G ;

IANNELLI, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 112 (01) :36-55

[8] ANALYTIC RESOLVENT OPERATORS FOR INTEGRAL-EQUATIONS IN BANACH-SPACE [J].

GRIMMER, RC ;

PRITCHARD, AJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1983, 50 (02) :234-259

[9] A GENERAL THEORY OF HEAT CONDUCTION WITH FINITE WAVE SPEEDS [J].

GURTIN, ME ;

PIPKIN, AC .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1968, 31 (02) :113-&

[10] Existence results for partial neutral functional differential equations with unbounded delay [J].

Hernandez, E ;

Henriquez, HR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 221 (02) :452-475

← 1 2 →