Global solutions of systems of nonlinear impulsive Volterra integral equations in banach spaces

被引：0

作者：

Chen Fang-qi

Chen Yu-shu

机构：

[1] Tianjin University,Department of Mathematics

[2] Tianjin University,Department of Mechanics

来源：

Applied Mathematics and Mechanics | 2001年 / 22卷 / 6期

关键词：

system of impulsive Volterra integral equations; Tonelli's method; extremal solutions; cone and partial ordering; 0177.91;

D O I：

10.1007/BF02435660

中图分类号：

学科分类号：

摘要：

The existence of solutions for systems of nonlinear impulsive Volterra integral equations on the infinite interval R+ with an infinite number of moments of impulse effect in Banach spaces is studied. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations on a finite interval with a finite number of moments of impulse effect. The results are demonstrated by means of an example of an infinite systems for impulsive integral equations.

引用

页码：619 / 629

页数：10

共 50 条

[1] GLOBAL SOLUTIONS OF SYSTEMS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES
陈芳启
陈予恕
AppliedMathematicsandMechanics(EnglishEdition), 2001, (06) : 619 - 629
[2] Global solutions of systems of nonlinear impulsive Volterra integral equations in Banach spaces
Chen, FQ
Chen, YS
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2001, 22 (06) : 619 - 629
[3] Global Solutions of Systems of Nonlinear Impulsive Volterra Integral Equations in Banach Spaces
Fang-qi Chen
Yu-shu Chen
Applied Mathematics and Mechanics, 2001, 22 : 619 - 629
[4] Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces
陈芳启
田瑞兰
Transactions of Tianjin University, 2005, (02) : 152 - 155
[5] Existence of solutions for nonlinear impulsive Volterra integral equations in Banach spaces
Chen, FQ
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (03): : 429 - 438
[6] Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces
Li R.
Ding C.
Applied Mathematics-A Journal of Chinese Universities, 2000, 15 (3) : 281 - 288
[7] Existence theorems of solutions for nonlinear impulsive volterra integral equations in Banach spaces
Chen F.G.
Applied Mathematics-A Journal of Chinese Universities, 1997, 12 (3) : 299 - 306
[8] EXISTENCE THEOREMS OF SOLUTIONS FOR NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES
Li Rengui\ Ding ChangyinDept.of Math.
AppliedMathematics:AJournalofChineseUniversities, 2000, (03) : 281 - 288
[9] EXISTENCE THEOREMS OF SOLUTIONS FOR NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES
ZHANG ZHITAO
Applied Mathematics:A Journal of Chinese Universities(Series B), 1997, (03) : 49 - 56
[10] Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
Liu, LS
Guo, F
Wu, CX
Wu, YH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (02) : 638 - 649

← 1 2 3 4 5 →