Existence results for impulsive differential inclusions with nonlocal conditions

被引：0

作者：

Yan Luo

Weibing Wang

机构：

[1] Hunan University of Science and Technology,School of Mathematics and Computing Science

来源：

Journal of Fixed Point Theory and Applications | 2018年 / 20卷

关键词：

Impulsive differential inclusions; mild solution; nonlocal conditions; nonlinear alternative of Leray-Schauder type; Primary 34A60; 34A37; Secondary 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the existence of mild solutions for first order impulsive differential inclusions with nonlocal condition in Banach spaces. Our result is obtained using another nonlinear alternative of Leray-Schauder type. An example is also presented.

引用

共 50 条

[31] Controllability of impulsive evolution inclusions with nonlocal conditions
Guo, M
Xue, X
Li, R
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2004, 120 (02) : 355 - 374
[32] Existence of the Mild Solution for an Impulsive Nonlocal Neutral Stochastic Fractional Differential Inclusions with Infinite Delay
Chadha A.
International Journal of Applied and Computational Mathematics, 2017, 3 (Suppl 1) : 699 - 726
[33] New Study of the Existence and Dimension of the Set of Solutions for Nonlocal Impulsive Differential Inclusions with a Sectorial Operator
Alsarori, Nawal
Ghadle, Kirtiwant
Sessa, Salvatore
Saleh, Hayel
Alabiad, Sami
SYMMETRY-BASEL, 2021, 13 (03):
[34] EXISTENCE OF A MILD SOLUTION FOR IMPULSIVE NEUTRAL FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
Chadha, Alka
Pandey, Dwijendra N.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2015, 7 (02): : 151 - 168
[35] Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
Abada, Nadjet
Benchohra, Mouffak
Hammouche, Hadda
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (10) : 3834 - 3863
[36] Existence and controllability results for first- and second-order functional semilinear differential inclusions with nonlocal conditions
Gorniewicz, L.
Ntouyas, S. K.
O'Regan, D.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (1-2) : 53 - 82
[37] Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions
Wang, JinRong
Ibrahim, Ahmed Gamal
O'Regan, Donal
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (06): : 921 - 941
[38] Controllability results for nondensely defined evolution differential inclusions with nonlocal conditions
Gatsori, EP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 194 - 211
[39] Mild solutions to fractional differential inclusions with nonlocal conditions
Tingting Lian
Changfeng Xue
Shaozhong Deng
Boundary Value Problems, 2016
[40] Mild solutions to fractional differential inclusions with nonlocal conditions
Lian, Tingting
Xue, Changfeng
Deng, Shaozhong
BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →