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    Exponential stability in p-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations

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    Authors
    Baker, Christopher T. H.
    Buckwar, Evelyn
    Affiliation
    Univesity College Chester ; Humboldt-Universität zu Berlin
    Publication Date
    2005-12-15
    
    Metadata
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    Abstract
    This article carries out an analysis which proceeds as follows: showing that an inequality of Halanay type (derivable via comparison theory) can be employed to derive conditions for p-th mean stability of a solution; producing a discrete analogue of the Halanay-type theory, that permits the development of a p-th mean stability analysis of analogous stochastic difference equations. The application of the theoretical results is illustrated by deriving mean-square stability conditions for solutions and numerical solutions of a constant-coefficient linear test equation.
    Citation
    Journal of Computational and Applied Mathematics, 2005, 184(2), pp. 404-427
    Publisher
    Elsevier
    Journal
    Journal of Computational and Applied Mathematics
    URI
    http://hdl.handle.net/10034/255233
    DOI
    10.1016/j.cam.2005.01.018
    Additional Links
    http://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/
    Type
    Article
    Language
    en
    Description
    This article is not available through ChesterRep.
    ISSN
    0377-0427
    Sponsors
    This article was submitted to the RAE2008 for the University of Chester - Applied Mathematics.
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cam.2005.01.018
    Scopus Count
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    Mathematics

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