Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

We prove an existence and location result for the third order functional nonlinear boundary value problem u′′′(t) = f(t,u,u′(t),u′′(t)), for t∈[a,b], 0 = L₀(u,u′,u(t₀)), 0 = L₁(u,u′,u′(a),u′′(a)), 0 = L₂(u,u′,u′(b),u′′(b)), with t₀∈[a,b] given, f:I×C(I)×R²→R is a L¹- Carathéodory function allowing s...

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Bibliographic Details
Main Author: Santos, Ana I. (author)
Other Authors: Cabada, Alberto (author), Minhós, Feliz M. (author)
Format: article
Language:eng
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/10174/2715
Country:Portugal
Oai:oai:dspace.uevora.pt:10174/2715