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Title: Existence and location result for a fourth order boundary value problems
Authors: Santos, Ana I.
Minhós, Feliz M.
Gyulov, Thiomir
Keywords: fourth order BVP
Nagumo condition
a pair of lower and upper solutions
degree theory
a priori estimate
Issue Date: Aug-2005
Publisher: Aims Press
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:[0,1]×R⁴→R is a continuous function satisfying a Nagumo type condition. 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.
ISSN: 1078-0947
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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