Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses

被引：204

作者：

Pierri, Michelle ^{[2
]}

O'Regan, Donal ^{[1
]}

Rolnik, Vanessa ^{[2
]}

机构：

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

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Impulsive differential equation; Mild solution; Analytic C-0-semigroup; Partial differential equations; NONLOCAL CONDITIONS; EVOLUTION SYSTEMS; INCLUSIONS;

D O I：

10.1016/j.amc.2012.12.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the theory of analytic semigroup and fractional power of closed operators we study the existence of solutions for a class of semi-linear abstract impulsive differential equations with not instantaneous impulses. Some applications involving partial differential equations with impulses are presented. (C) 2013 Published by Elsevier Inc.

引用

页码：6743 / 6749

页数：7

共 28 条

[1] Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions [J].

Abada, Nadjet ;

Benchohra, Mouffak ;

Hammouche, Hadda .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) :3834-3863

[2] Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions [J].

Anguraj, A. ;

Karthikeyan, K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) :2717-2721

[3]

[Anonymous], APPL MATH SCI

[4]

[Anonymous], 1987, NONLINEAR OPERATORS

[5]

[Anonymous], 1989, Series in Modern Applied Mathematics

[6]

Benchohra M., 2006, Impulsive Differential equations and Inclusions

[7] Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators [J].

Chang, Y-K ;

Kavitha, V. ;

Arjunan, M. Mallika .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) :32-43

[8] Existence for impulsive neutral integrodifferential inclusions with nonlocal initial conditions via fractional operators [J].

Chang, Yong-Kui ;

Anguraj, A. ;

Karthikeyan, K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4377-4386

[9] Impulsive periodic solutions of first-order singular differential equations [J].

Chu, Jifeng ;

Nieto, Juan J. .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2008, 40 :143-150

[10] Existence results for semilinear differential equations with nonlocal and impulsive conditions [J].

Fan, Zhenbin ;

Li, Gang .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 258 (05) :1709-1727

← 1 2 3 →