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Fully nonlinear fourth-order equations with functional boundary conditions. (English) Zbl 1138.34008
The authors prove an existence and location result for a nonlinear fourth-order ordinary differential equation with functional boundary conditions. The approach relies on the method of upper-lower solutions and the use of Schauder’s fixed point theorem. An application to a human spine deformation model is also included.

MSC:
34B15 Nonlinear boundary value problems for ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
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