Abstract functional second-order stochastic evolution equations with applications

被引：2

作者：

McKibben M.A. ^{[1
]}

Webster M. ^{[2
]}

机构：

[1] Department of Mathematics, West Chester University, 25 University Avenue, West Chester, 19383, PA

[2] Center for Data, Mathematical, and Computational Sciences, Goucher College, 1021 Dulaney Valley Road, Baltimore, 21286, MD

来源：

Afrika Matematika | 2017年 / 28卷 / 5-6期

关键词：

Cosine family; Fractional Brownian motion; Second-order equation; Stochastic evolution equation;

D O I：

10.1007/s13370-017-0480-1

中图分类号：

学科分类号：

摘要：

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. © 2017, African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：755 / 780

页数：25

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