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Nonlinear fourth order boundary value problem. (English) Zbl 1309.34038

Summary: We consider a nonlinear boundary value problem generated by a fourth order differential equation on the semi-infinite. Using the well-known Banach and Schauder fixed point theorems we prove the existence and uniqueness theorems for the nonlinear boundary value problem.

MSC:

34B40 Boundary value problems on infinite intervals for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B16 Singular nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
34B37 Boundary value problems with impulses for ordinary differential equations
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