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Title: Existence and location result for the bending of a single elastic beam
Authors: Santos, Ana Isabel
Minhós, Feliz Manuel
Gyulov, Tihomir
Keywords: Fourth-order BVP
Lower and upper solutions
Nagumo-type condition
A priori estimate
Degree theory
Odd mapping theorem
Issue Date: 2007
Publisher: Vydavatel'stvo STU
Abstract: In the present work we prove an existence and location result for the fourth order fully nonlinear equation u^{(iv)}=f(t,u,u′,u′′,u′′′), 0<t<1, with the Lidstone boundary conditions u(0)=u′′(0)=u(1)=u′′(1)=0, where f is a continuous function satisfying a Nagumo-type condition. We remark that f must only verify some assumptions of bound type and no monotonicity restrictions are considered, as it is usual. The existence of at least a solution lying between a pair of well ordered lower and upper solutions is obtained using an a priori estimates, lower and upper solutions method and degree theory.
ISBN: 978-80-227-2624-5
Type: article
Appears in Collections:CIMA - Artigos em Livros de Actas/Proceedings
MAT - Artigos em Livros de Actas/Proceedings

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