OPTIMAL INTERVAL LENGTHS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR SECOND ORDER LIPSCHITZ EQUATIONS

TitleOPTIMAL INTERVAL LENGTHS FOR NONLOCAL BOUNDARY VALUE PROBLEMS FOR SECOND ORDER LIPSCHITZ EQUATIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsHENDERSON, JOHNNY
Volume15
Issue4
Start Page457
Pagination8
Date Published2011
ISSN1083-2564
AMS34B15
Abstract

For the second order differential equation, y′′= f (t, y, y′ ), where f (t, r1, r2 ) is Lipschitz continuous in terms of r1 and r2, we obtain optimal bounds on the length of intervals on which there exist unique solutions of certain nonlocal three point boundary value problems. These bounds are obtained through an application of the Pontryagin Maximum Principle from the theory of optimal control.

URLhttp://www.acadsol.eu/en/articles/15/4/4.pdf
Refereed DesignationRefereed
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