SECOND ORDER CARATHEODORY AND DISCONTINUOUS DIFFERENTIAL EQUATIONS IN BANACH ALGEBRAS

TitleSECOND ORDER CARATHEODORY AND DISCONTINUOUS DIFFERENTIAL EQUATIONS IN BANACH ALGEBRAS
Publication TypeJournal Article
Year of Publication2006
AuthorsDhage, BC
Volume10
Issue2
Start Page161
Pagination16
Date Published2006
ISSN1083-2564
AMS34K10
Abstract

In this paper an existence theorem for the second order 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.

URLhttp://www.acadsol.eu/en/articles/10/2/5.pdf
Refereed DesignationRefereed
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