Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces. (English) Zbl 1244.34023
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:
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |
34B40 | Boundary value problems on infinite intervals for ordinary differential equations |
34G20 | Nonlinear differential equations in abstract spaces |
47N20 | Applications of operator theory to differential and integral equations |