Abstract functional second-order stochastic evolution equations with applications

dc.contributor.author	McKibben, Mark A.
dc.contributor.author	Webster, Micah
dc.contributor.department	Mathematics	en
dc.contributor.program	Center for Data, Mathematical, and Computational Sciences	en
dc.date.accessioned	2017-07-26T23:59:50Z
dc.date.available	2017-07-26T23:59:50Z
dc.date.issued	2017-01-24
dc.description.abstract	We investigate a class of abstract second-order damped functional stochastic evolution equations driven by a fractional Brownian motion in a separable Hilbert space. The global existence of mild solutions is established under various growth and compactness conditions. The case of a nonlocal initial condition is addressed. A related convergence result is discussed, and the theory is applied to stochastic wave and beam equations, as well as a spring-mass system, for illustrative purposes.	en
dc.genre	journal articles	en
dc.identifier	doi:10.13016/M2RJ48V1H
dc.identifier.citation	M. McKibben, M.Webster, “Abstract functional second-order stochastic evolution equations with applications, ” Afrika Matematika, (2017), 1-26, doi: 10.1007/s13370-017-0480-1.	en
dc.identifier.uri	http://hdl.handle.net/11603/4375
dc.language.iso	en	en
dc.subject	Cosine family	en
dc.subject	Second-order equation	en
dc.subject	Fractional Brownian motion	en
dc.subject	Stochastic evolution equation	en
dc.title	Abstract functional second-order stochastic evolution equations with applications	en
dc.type	Text	en

Files

Now showing 1 - 1 of 1