Initial value problems of second order nonlinear impulsive integro-differential equations in Banach spaces

被引：0

作者：

Yu, LX ^{[1
]}

机构：

[1] Qufu Normal Univ, Dept Math, Qufu 273165, Shandong, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2003年 / 34卷 / 03期

关键词：

extremal solutions; impulsive integro-differential equation; Kuratowski noncompact measure; monotone iterative technique;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using a new comparison result and the monotone iterative technique, we studied the existence of minimal and maximal solutions of initial value problem for nonlinear second order impulsive integro-differential equations which contains differential argument in Banach spaces and some existence theorems are obtained.

引用

页码：405 / 427

页数：23

共 50 条

[1] Initial value problems for nonlinear second order impulsive integro-differential equations in Banach spaces
Guo, DJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (01) : 1 - 13
[2] INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
GUO DAJUN *Department of Mathematics
[J]. Chinese Annals of Mathematics,Series B, 1997, (04) : 35 - 44
[3] Initial value problems for second order impulsive integro-differential equations in Banach spaces
Guo, DJ
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1997, 18 (04) : 439 - 448
[4] Initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces
Zhang, XG
Liu, LS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (11) : 2562 - 2574
[5] Initial Value Problems for Second Order Impulsive Integro-Differential Equation in Banach Spaces
陈芳启
张海燕
[J]. Transactions of Tianjin University, 2005, (01) : 73 - 78
[6] The initial value problems for the first order system of nonlinear impulsive integro-differential equations in banach spaces
Xie, Shengli
Zhu, Jiang
[J]. DIFFERENTIAL EQUATIONS AND APPLICATIONS, VOL 5, 2007, 5 : 137 - +
[7] Initial value problems for second-order integro-differential equations in Banach spaces
Guo, DJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (03) : 289 - 300
[8] Initial value problems in infinite interval of first order nonlinear impulsive integro-differential equations in Banach spaces
Liu, Zhenbin
Liu, Lishan
Wu, Yonghong
Zhao, Jing
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (01): : 13 - 26
[9] Periodic boundary value problems for second order impulsive integro-differential equations in Banach spaces
Guo, DJ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (06) : 983 - 997
[10] Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
Guo, F
Liu, LS
Wu, YH
Siew, PF
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (08) : 1363 - 1382

← 1 2 3 4 5 →