NONLOCAL CAUCHY PROBLEM FOR SECOND ORDER STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES

TitleNONLOCAL CAUCHY PROBLEM FOR SECOND ORDER STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES
Publication TypeJournal Article
Year of Publication2007
AuthorsBALASUBRAMANIAM P., PARK J.Y.
JournalDynamic Systems and Applications
Volume16
Start Page713
Pagination16
Date Published2007
ISSN1056-2176
AMS Subject Classification34F05, 49K24, 60G12
Abstract

Existence of mild solutions of second order nonlinear stochastic evolution equations with nonlocal conditions in Hilbert spaces is established. The results are obtained by using the Schaefer fixed point theorem. Application for the beam equation is also discussed to illustrate the theory.
PDFhttps://acadsol.eu/dsa/articles/16/713-728-DSA-045.pdf
Refereed DesignationRefereed