SECOND ORDER CARATHEODORY AND DISCONTINUOUS INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH ALGEBRAS

TitleSECOND ORDER CARATHEODORY AND DISCONTINUOUS INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH ALGEBRAS
Publication TypeJournal Article
Year of Publication2007
AuthorsDHAGE B.C., NTOUYAS S.K.
JournalDynamic Systems and Applications
Volume16
Start Page217
Pagination15
Date Published2007
ISSN1056-2176
AMS Subject Classification34A12, 34K05
Abstract

In this paper an existence theorem for the second order integro-differential equations in Banach algebras is proved under the mixed generalized Lipschitz and Carath´eodory conditions. The existence of extremal solutions is also proved under certain monotonicity conditions.
PDFhttps://acadsol.eu/dsa/articles/16/217-232-DSA-26-03-B.%20C.%20Dhage%20BCD-SKN.pdf
Refereed DesignationRefereed