EXISTENCE, UNIQUENESS, AND CONTROLLABILITY RESULTS FOR NEUTRAL FSDES IN HILBERT SPACES

TitleEXISTENCE, UNIQUENESS, AND CONTROLLABILITY RESULTS FOR NEUTRAL FSDES IN HILBERT SPACES
Publication TypeJournal Article
Year of Publication2008
AuthorsSAMOILENKO A.M, MAHMUDOV N.I, STANZHITSK, II A.N
JournalDynamic Systems and Applications
Volume17
Start Page53
Pagination18
Date Published2008
ISSN1056-2176
AMS Subject Classification39A10, 93B05
Abstract

We establish results concerning the global existence, uniqueness, and controllability of mild solutions for a neutral functional stochastic differential equations with variable delay in a real separable Hilbert space. The results are obtained by imposing a so-called Carathe´odory condition on the nonlinearities, which is weaker than the classical Lipschitz condition. Examples illustrating the applicability of the general theory are also provided.
PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-053-070.pdf
Refereed DesignationRefereed