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Title: Fourth order functional boundary value problems: Existence results and extremal solutions
Authors: Minhós, Feliz
Editors: Gyulov, Tihomir
Chaparova, Julia
Keywords: Functional problems
Extremal solutions
Issue Date: 2012
Citation: Feliz Minhós, Fourth order functional boundary value problems: Existence results and extremal solutions, Proceedings of International Conference Nonlinear Difference and Differential Equations and their Applications , NODDEA’2012, Ruse, Bulgária, 2012
Abstract: In this work we present two types of results for some fourth order functional boundary value problems. The first one presents an existence and location result for a problem where every boundary conditions have functional dependence. The second one states sufficient conditions for the existence of extremal solutions for functional problems with more restrict boundary functions. The arguments make use of lower and upper solutions technique, a Nagumo-type condition,an adequate version of Bolzano’s theorem and existence of extremal fixed points for a suitable mapping.
ISBN: 978-954-8467-84-1
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings

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