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