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Second-order boundary-value problems with integral boundary conditions on the real line. (English) Zbl 1292.34017

Summary: This article shows the existence and multiplicity of nonnegative solutions for nonlinear boundary-value problems with integral boundary conditions on the whole line. The arguments are based upon Krasnoselskii’s fixed point theorem of cone expansion-compression type. An example is given to demonstrate our results.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B40 Boundary value problems on infinite intervals for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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