Existence results for impulsive differential inclusions with nonlocal conditions

被引：6

作者：

Luo, Yan ^{[1
]}

Wang, Weibing ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Math & Comp Sci, Xiangtan 411201, Hunan, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 02期

关键词：

Impulsive differential inclusions; mild solution; nonlocal conditions; nonlinear alternative of Leray-Schauder type; THEOREMS;

D O I：

10.1007/s11784-018-0572-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页数：16

共 50 条

[31] Approximate controllability for neutral impulsive differential inclusions with nonlocal conditions
Xianlong Fu
[J]. Journal of Dynamical and Control Systems, 2011, 17 : 359 - 386
[32] Existence results for first order nonlinear impulsive differential equations with nonlocal boundary conditions
Mardanov, Misir J.
Sharifov, Yagub A.
[J]. ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015), 2015, 1676
[33] Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions
Chadha, Alka
Pandey, Dwijendra N.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1005 - 1031
[34] Existence of the Mild Solution for Impulsive Neutral Stochastic Fractional Integro-Differential Inclusions with Nonlocal Conditions
Alka Chadha
Dwijendra N. Pandey
[J]. Mediterranean Journal of Mathematics, 2016, 13 : 1005 - 1031
[35] EXISTENCE AND CONTROLLABILITY RESULTS FOR NONDENSELY DEFINED STOCHASTIC EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Ni, Jinbo
Xu, Feng
Gao, Juan
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (01) : 41 - 59
[36] Existence for neutral impulsive functional differential equations with nonlocal conditions
Li, M.
Han, M.
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2009, 20 (03): : 435 - 451
[37] Existence and compactness of solutions to impulsive differential equations with nonlocal conditions
Chang, Jung-Chan
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (02) : 317 - 327
[38] Existence results for second order impulsive functional differential inclusions
Chang, YK
Li, WT
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (02) : 477 - 490
[39] EXISTENCE RESULTS FOR IMPULSIVE PARTIAL NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS
Ntouyas, Sotiris K.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[40] Existence and controllability results for impulsive partial functional differential inclusions
Abada, Nadjet
Benchohra, Mouffak
Hammouche, Hadda
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) : 2892 - 2909

← 1 2 3 4 5 →