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Zbl 1244.34023
Zhao, Yulin; Chen, Haibo; Xu, Chengjie
Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. (English)
[J] Electron. J. Differ. Equ. 2012, Paper No. 44, 11 p., electronic only (2012). ISSN 1072-6691/e

Summary: We prove the existence of at least three solutions for a second-order three-point boundary-value problem on infinite intervals in Banach spaces. We use the unbounded upper and lower solution method, and the topological degree theory of strict-set-contractions. To illustrate our results, we present an example.

MSC 2000:: *34B10 Multipoint boundary value problems
34B15 Nonlinear boundary value problems of ODE
34B40 Boundary value problems on infinite intervals
34G20 Nonlinear ODE in abstract spaces
47N20 Appl. of operator theory to differential and integral equations

Keywords: boundary value problem; lower and upper solution; strict-set-contraction; Banach space

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