Existence and Uniqueness of Mild Solutions to Some Neutral Stochastic Partial Functional Integrodifferential Equations with Non-Lipschitz Coefficients

This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provide...

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Bibliographic Details
Published inInternational Journal of Mathematics and Mathematical Sciences Vol. 2012; no. 2012; pp. 322 - 333-128
Main Authors Diop, Mamadou Abdoul, Ezzinbi, Khalil, Lo, Modou
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 2012
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Approximation
Banach spaces
Hilbert space
Mathematical analysis
Random variables
Stochasticity
Studies
Uniqueness
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Summary:This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provided to illustrate the results of this work.
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ISSN:0161-1712
1687-0425
DOI:10.1155/2012/748590