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Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type

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成果类型:
期刊论文
作者:
Li, Yunxiang;Lu, Liang*
通讯作者:
Lu, Liang
作者机构:
[Li, Yunxiang] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
[Lu, Liang] Hezhou Univ, Coll Sci, Hezhou 542899, Guangxi, Peoples R China.
[Lu, Liang] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China.
通讯机构:
[Lu, Liang] H
Hezhou Univ, Coll Sci, Hezhou 542899, Guangxi, Peoples R China.
语种:
英文
关键词:
Controllability;Existence of mild solution;Generalized clarke subdifferential;Stochastic evolution equations
期刊:
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
ISSN:
1417-3875
年:
2015
卷:
2015
期:
59
页码:
1-16
基金类别:
NNSF of ChinaNational Natural Science Foundation of China (NSFC) [11271087, 61263006, 11461021]; NSF of Guangxi [2014GXNSFDA118002]; Special Funds of Guangxi Distinguished Experts Construction Engineering; Education Department of Hunan Province [12B024]; Scientific Research Foundation of Guangxi Education Department [KY2015YB306]; Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis [HCIC201305]; Scientific Research Project of Hezhou University [2014ZC13]; Guangxi Colleges and Universities Key Laboratory of Symbolic Computation and Engineering Data Processing
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
In this paper, we investigate a class of stochastic evolution inclusions of Clarke’s subdifferential type in Hilbert spaces. The existence of mild solutions and controllability results are given and proved by using stochastic analysis techniques, semigroup of operators theory, a fixed point theorem of multivalued maps and properties of generalized Clarke subdifferential. An example is included to illustrate the applicability of the main results. © 2015 U...

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