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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Ukrainian Mathematic...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Ukrainian Mathematical Journal
Article . 1995 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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On the stability of solutions of stochastic differential inclusions

Authors: Kravets, T. N.;

On the stability of solutions of stochastic differential inclusions

Abstract

The author obtains sufficient conditions for the stability in probability of the trivial solution to the stochastic differential inclusion \[ du+A(t,u(t))dt+ C(u(t))dt+B(t,u(t))dw(t)\ni 0, \] where \(w(t)\) is a Wiener process in \(R^{d}\), \(A(t,u)\in R^{d}\), \(B(t,u)\in {\mathcal L}(R^{d})\), \({\mathcal L}(R^{d})\) is a space of linear operators in \(R^{d}\), \(C(u)\) is a multivalued monotone operator.

Keywords

stochastic differential inclusion, Random operators and equations (aspects of stochastic analysis), multivalued monotone operator, stability in probability

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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