Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces

被引：0

作者：

Zuomao Yan

Xingxue Yan

机构：

[1] Hexi University,Department of Mathematics

来源：

Zeitschrift für angewandte Mathematik und Physik | 2013年 / 64卷

关键词：

34A60; 34K40; 34F05; 60H20; Impulsive stochastic functional integrodifferential inclusions; Fixed point; Analytic semigroup; Nonlocal condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper discusses a class of impulsive nonlocal stochastic functional integrodifferential inclusions in a real separable Hilbert space. The existence of mild solutions of these inclusions is determined under the mixed continuous and Carathéodory conditions by using Bohnenblust–Karlin’s fixed point theorem and fractional operators combined with approximation techniques. An example is provided to illustrate the theory.

引用

页码：573 / 590

页数：17

共 50 条

[21] Existence of solutions for nonlinear functional integrodifferential evolution equations with nonlocal conditions
Yan, Zuomao
Wei, Ping
[J]. AEQUATIONES MATHEMATICAE, 2010, 79 (03) : 213 - 228
[22] Existence of solutions of neutral functional integrodifferential equation in Banach spaces
K. Balachandran
R. Sakthivel
[J]. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1999, 109 : 325 - 332
[23] Controllability of Nonlocal Impulsive Stochastic Quasilinear Integrodifferential System
Sathya, R. .
Balachandran, K.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (50) : 1 - 16
[24] Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces
Yan, Zuomao
[J]. ANNALES POLONICI MATHEMATICI, 2010, 97 (03) : 285 - 299
[25] A study on approximate and exact controllability of impulsive stochastic neutral integrodifferential evolution system in Hilbert spaces
Subalakshmi, R.
Radhakrishnan, B.
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 : 1731 - 1743
[26] Existence of Solutions for Stochastic Volterra Integral Inclusions in Hilbert Spaces
Guo, Zeng-Xiao
Zhao, Zhi-Ming
Mi, Ju-Sheng
Li, Guo-Cheng
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (01) : 71 - 77
[27] Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces
Al-Shara, Safwan
Al-Omari, Ahmad
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
[28] Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces
Safwan Al-Shara
Ahmad Al-Omari
[J]. Computational and Applied Mathematics, 2020, 39
[29] ON SOME EXISTENCE RESULTS OF MILD SOLUTIONS FOR NONLOCAL INTEGRODIFFERENTIAL CAUCHY PROBLEMS IN BANACH SPACES
Yang, YanLong
Wang, JinRong
[J]. OPUSCULA MATHEMATICA, 2011, 31 (03) : 443 - 455
[30] Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
Taniguchi, T
Liu, K
Truman, A
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 181 (01) : 72 - 91

← 1 2 3 4 5 →