Fully nonlinear fourth-order equations with functional boundary conditions (Q2467763)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fully nonlinear fourth-order equations with functional boundary conditions |
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Fully nonlinear fourth-order equations with functional boundary conditions (English)
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28 January 2008
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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.
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fourth-order functional problems
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Nagumo-type condition
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lower and upper solutions
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fixed-point theory
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beam equation
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human spine continuous model
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