Dionicio Pastor Dallos Santos
Using Leray-Schauder degree theory and the method of upper and lower solutions, we obtain a solution for nonlinear boundary-value problem
where l(u,u')=0 denotes the three-point boundary conditions on [0,T], and is a homeomorphism such that .
Submitted September 21, 2016. Published January 30, 2017.
Math Subject Classifications: 34B15, 34B16, 47H10, 47H11.
Key Words: Boundary value problems; Schauder fixed point theorem; Leray-Schauder degree; lower and upper solutions.
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| Dionicio Pastor Dallos Santos |
Department of Mathematics, IME-USP
CEP 05508-090, São Paulo, SP, Brazil
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