EXISTENCE RESULTS FOR IMPULSIVE EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

被引：0

作者：

Hernandez, Eduardo ^{[1
]}

Sakthivel, Rathinasamy ^{[2
]}

Aki, Sueli Tanaka ^{[1
]}

机构：

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

[2] Pohang Univ Sci & Technol, Dept Mech Engn, Pohang 790784, South Korea

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

State-dependent delay; abstract Cauchy problem; partial functional-differential equations; evolution operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of mild solution for impulsive evolution abstract differential equations with state-dependent delay. A concrete application to partial delayed differential equations is considered.

引用

页数：11

共 25 条

[1] ANALYSIS OF A MODEL REPRESENTING STAGE-STRUCTURED POPULATION-GROWTH WITH STATE-DEPENDENT TIME-DELAY [J].

AIELLO, WG ;

FREEDMAN, HI ;

WU, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (03) :855-869

[2] Existence results for an impulsive neutral functional differential equation with state-dependent delay [J].

Anguraj, A. ;

Arjunan, M. Mallika ;

Hernandez, Eduardo M. .

APPLICABLE ANALYSIS, 2007, 86 (07) :861-872

[3]

[Anonymous], 1987, NONLINEAR OPERATORS

[4]

Arino O., 2000, Nonlinear Analysis: Real World Application, V1, P69, DOI 10.1016/S0362-546X(99)00394-6

[5] THE EFFECTS OF STATE-DEPENDENT TIME-DELAY ON A STAGE-STRUCTURED POPULATION-GROWTH MODEL [J].

CAO, YL ;

FAN, JP ;

GARD, TC .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (02) :95-105

[6] On equations with delay depending on solution [J].

Domoshnitsky, A ;

Drakhlin, M ;

Litsyn, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 49 (05) :689-701

[7]

Granas A., 2003, FIXED POINT THEOR-RO, DOI 10.1007/978-0-387-21593-8

[8] Linearized stability in periodic functional differential equations with state-dependent delays [J].

Hartung, F .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) :201-211

[9] Parameter identification in classes of neutral differential equations with state-dependent delays [J].

Hartung, F ;

Herdman, TL ;

Turi, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 39 (03) :305-325

[10] Identification of parameters in delay equations with state-dependent delays [J].

Hartung, F ;

Turi, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (11) :1303-1318

← 1 2 3 →