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On the pathwise exponential stability of nonlinear stochastic parabolic systems

Memoirs of the Faculty of Engineering, Yamaguchi University Volume 50 Issue 1 Page 39-44
published_at 1999-10
A030050000106.pdf
[fulltext] 291 KB
Title
非線形確率放物型システムの道ごとの指数安定性について
On the pathwise exponential stability of nonlinear stochastic parabolic systems
Creators Kawamura Takashi
Creators Nakatsuru Takeshi
Creators Miyajima Keiichi
Creators Ishikawa Masaaki
Source Identifiers
Creator Keywords
pathwise exponential stability nonlinear stochastic partial differential equation Sobolev space
This paper is concerned with the pathwise exponential stability of nonlinear stochastic partial differential equations. First, the concept of the stability and asymptotic stability to the nonlinear deterministic ordinary differential equation is stated and then the exponential stability of the nonlinear stochastic partial differential equation is explained. Secondly, the sufficient conditions to get the exponential stability of the nonlinear stability, it is shown that the pathwise exponential stability holds. Finally, through the simulation experiments, the conditions proposed here are examined.
Subjects
工学 ( Other)
Languages jpn
Resource Type departmental bulletin paper
Publishers 山口大学工学部
Date Issued 1999-10
File Version Version of Record
Access Rights open access
Relations
[ISSN]1345-5583
[NCID]AA11422756
[isVersionOf] [URI]http://memoirs.lib-e.yamaguchi-u.ac.jp/
Schools 工学部