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Title: Existence and location results for the bending of an elastic beam
Authors: Minhós, Feliz Manuel
Gyulov, Tihomir
Santos, Ana Isabel
Keywords: Fourth order BVP
lower and upper solutions
Nagumo-type condition
odd mapping theorem
degree theory
a priori estimate
Issue Date: 2007
Abstract: In this paper it is obtained an existence and location result for some fourth order fully nonlinear equation with Lidstone boundary conditions. The nonlinearity verifies a Nagumo-type condition without assumptions of bound type and monotonicity restrictions. The existence of at least a solution lying between a pair of well ordered lower and upper solutions is obtained using a priori estimates, lower and upper solutions method and degree theory.
Type: lecture
Appears in Collections:CIMA - Comunicações - Em Congressos Científicos Internacionais

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