PublicaciĂłn:
DYNAMICS OF A-LINEAR STOCHASTIC VISCOELASTIC EQUATION WITH MULTIPLICATIVE NOISE

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dc.creatorJAIME EDILBERTO MUĂ‘OZ RIVERA
dc.date2019
dc.date.accessioned2025-01-10T15:13:03Z
dc.date.available2025-01-10T15:13:03Z
dc.date.issued2019
dc.description.abstractTHE WELL-POSEDNESS AND STABILITY PROPERTIES OF A STOCHASTIC VISCOELASTIC EQUATION WITH MULTIPLICATIVE NOISE, LIPSCHITZ AND LOCALLY LIPSCHITZ NONLINEAR TERMS ARE INVESTIGATED. THE METHOD OF LYAPUNOV FUNCTIONS IS USED TO INVESTIGATE THE ASYMPTOTIC DYNAMICS WHEN ZERO IS NOT A SOLUTION OF THE EQUATION BY USING AN APPROPRIATE COCYCLE AND RANDOM DYNAMICAL SYSTEM. THE STABILITY OF MILD SOLUTIONS IS PROVED IN BOTH CASES OF LIPSCHITZ AND LOCALLY LIPSCHITZ NONLINEAR TERMS. FURTHERMORE, WE INVESTIGATE THE EXISTENCE OF A NON-TRIVIAL STATIONARY SOLUTION WHICH IS EXPONENTIALLY STABLE, BY USING A GENERAL RANDOM FIXED POINT THEOREM FOR GENERAL COCYCLES. IN THIS CASE, THE STATIONARY SOLUTION IS GENERATED BY THE COMPOSITION OF RANDOM VARIABLE AND WIENER SHIFT. IN ADDITION, THE THEORY OF RANDOM DYNAMICAL SYSTEM IS USED TO CONSTRUCT ANOTHER COCYCLE AND PROVE THE EXISTENCE OF A RANDOM FIXED POINT EXPONENTIALLY ATTRACTING EVERY PATH.
dc.formatapplication/pdf
dc.identifier.doi10.4208/jpde.v32.n4.2
dc.identifier.issn2314-6524
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10969
dc.languagespa
dc.publisherJOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS
dc.relation.uri10.4208/jpde.v32.n4.2
dc.rightsPUBLICADA
dc.subjectStochastic viscoelastic
dc.subjectstabilization
dc.subjectrandom dynamical systems
dc.subjectexponential stability
dc.subjectattractors
dc.titleDYNAMICS OF A-LINEAR STOCHASTIC VISCOELASTIC EQUATION WITH MULTIPLICATIVE NOISE
dc.typeARTĂŤCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIĂ“N
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