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Status已发表Published
TitleExistence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients
Creator
Date Issued2010
Source PublicationJournal of Mathematical Analysis and Applications
ISSN0022-247X
Volume371Issue:1Pages:309-322
Abstract

The purpose of this paper is twofold. Firstly, we investigate the problem of existence and uniqueness of solutions to stochastic differential equations with one sided dissipative drift driven by semi-martingales. Secondly, we investigate the problem of existence of an invariant measure for such equations when the coefficients are time independent. © 2010 Elsevier Inc.

KeywordExistence and uniqueness Invariant measures Stochastic differential equations of jump type
DOI10.1016/j.jmaa.2010.05.039
URLView source
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000280121500028
Scopus ID2-s2.0-77954213521
Citation statistics
Cited Times:100[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/10527
CollectionResearch outside affiliated institution
Affiliation
1.Institut für Angewandte Mathematik und H.C.M. der Universität Bonn,Endenicherallee 60,D-53115 Bonn,Germany
2.BiBoS-Research Centre,D-33615 Bielefeld,Germany
3.CERFIM,Locarno,Switzerland
4.Acc. Arch., USI,Mendrisio,Switzerland
5.Department of Mathematics,University of York,Heslington, York, YO10 5DD,United Kingdom
6.Department of Mathematics,Swansea University,Singleton Park, Swansea SA2 8PP,United Kingdom
Recommended Citation
GB/T 7714
Albeverio, Sergio,Brzeźniak, Zdzisław,Wu, Jianglun. Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients[J]. Journal of Mathematical Analysis and Applications, 2010, 371(1): 309-322.
APA Albeverio, Sergio, Brzeźniak, Zdzisław, & Wu, Jianglun. (2010). Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications, 371(1), 309-322.
MLA Albeverio, Sergio,et al."Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients". Journal of Mathematical Analysis and Applications 371.1(2010): 309-322.
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