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
收藏
页码：755 / 780
页数：25
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