EXISTENCE AND CONTROLLABILITY RESULTS FOR NONDENSELY DEFINED STOCHASTIC EVOLUTION DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS

被引：1

作者：

Ni, Jinbo ^{[1
]}

Xu, Feng ^{[1
]}

Gao, Juan ^{[1
]}

机构：

[1] Anhui Univ Sci & Technol, Dept Math, Huinan 232001, Anhui, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 01期

关键词：

existence; controllability; stochastic inclusion; integrated semigroup; nondensely defined operator; integral solution; EQUATIONS; DELAY;

D O I：

10.4134/JKMS.2013.50.1.041

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 and controllability results for a class of abstract stochastic evolution differential inclusions with nonlocal conditions where the linear part is nondensely defined and satisfies the Hille-Yosida condition. The results are obtained by using integrated semigroup theory and a fixed point theorem for condensing map due to Martelli.

引用

页码：41 / 59

页数：19

共 50 条

[1] Controllability results for nondensely defined evolution differential inclusions with nonlocal conditions
Gatsori, EP
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 194 - 211
[2] Nondensely defined evolution impulsive differential inclusions with nonlocal conditions
Benchohra, M
Gatsori, EP
Henderson, J
Ntouyas, SK
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (01) : 307 - 325
[3] Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
Zhang, Zufeng
Liu, Bin
JOURNAL OF APPLIED MATHEMATICS, 2012,
[4] 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
[5] Existence of nondensely defined evolution equations with nonlocal conditions
Fan, Zhenbin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 3829 - 3836
[6] Existence and controllability for nondensely defined partial neutral functional differential inclusions
Ezzinbi, Khalil
Rhali, Soumia Lalaoui
APPLICATIONS OF MATHEMATICS, 2015, 60 (03) : 321 - 340
[7] Existence and controllability for nondensely defined partial neutral functional differential inclusions
Khalil Ezzinbi
Soumia Lalaoui Rhali
Applications of Mathematics, 2015, 60 : 321 - 340
[8] NONDENSELY DEFINED IMPULSIVE NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Yueju Cao College of ScienceNorthwest AF UniversityYangling Shanxi Xianlong Fu Dept of MathEast China Normal UniversityShanghai
Annals of Differential Equations, 2009, 25 (02) : 127 - 139
[9] NONDENSELY DEFINED IMPULSIVE NEUTRAL FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
Yueju Cao (College of Science
Annals of Applied Mathematics, 2009, (02) : 127 - 139
[10] Nondensely defined evolution equations with nonlocal conditions
Ezzinbi, K
Liu, JH
MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (9-10) : 1027 - 1038

← 1 2 3 4 5 →