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    Abstract functional second-order stochastic evolution equations with applications

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    http://hdl.handle.net/11603/4375
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    Author/Creator
    McKibben, Mark A.
    Webster, Micah
    Date
    2017-01-24
    Type of Work
    Text
    journal articles
    Department
    Mathematics
    Program
    Center for Data, Mathematical, and Computational Sciences
    Citation of Original Publication
    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.
    Subjects
    Cosine family
    Second-order equation
    Fractional Brownian motion
    Stochastic evolution equation
    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.


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    library.goucher.edu/md-soar


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    Goucher College
    1021 Dulaney Valley Road
    Baltimore, MD 21204

    www.goucher.edu

    Contact Information:
    kristen.welzenbach@goucher.edu
    library.goucher.edu/md-soar


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.