Existence of solutions to second order problems with nonlinear boundary conditions (Q1422517)
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scientific article; zbMATH DE number 2046192
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions to second order problems with nonlinear boundary conditions |
scientific article; zbMATH DE number 2046192 |
Statements
Existence of solutions to second order problems with nonlinear boundary conditions (English)
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23 February 2004
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An upper and lower solutions method is developed for scalar second-order ordinary differential equations subject to general nonlinear boundary conditions. A new definition of coupled upper and lower solutions is introduced. This allows a unified treatment of several problems.
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nonlinear ordinary differential equation
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nonlinear boundary condition
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upper and lower solution
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Nagumo condition
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0.97862035
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0.9700607
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0.9552924
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0.95488733
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0.95053214
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