Existence and multiplicity of positive solutions to a fourth-order multi-point boundary value problem. (English) Zbl 1474.34170
Summary: In this paper, we study the existence and multiplicity of positive solutions for a nonlinear fourth-order ODE with multi-point boundary conditions and an integral boundary condition. The main tool is Krasnosel’skii fixed point theorem on cones.
MSC:
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
positive solutions; Krasnoselskii’s fixed point theorem; fourth-order integral boundary value problems; coneReferences:
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