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Existence of positive solutions to a class of fourth-order two-point boundary value problems with parameters. (Chinese. English summary) Zbl 1238.34044

Summary: The existence of positive solutions to a class of nonlinear fourth-order two-point boundary value problems with parameters is studied. By using a fixed point theorem on a cone, the existence of positive solutions is obtained.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B08 Parameter dependent boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations