Geometric methods for two-point nonlinear boundary value problems (Q584480)
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scientific article; zbMATH DE number 4134461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric methods for two-point nonlinear boundary value problems |
scientific article; zbMATH DE number 4134461 |
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Geometric methods for two-point nonlinear boundary value problems (English)
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1988
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The author discusses the class of differential equations of form \(\ddot x=F(\dot x)+G(x)\) with either Dirichlet or Neumann boundary values. The author obtains a new result on the monotonicity of the period function when oscillations are present in the equation, and states some conditions on F and G which ensure the standard Neumann situation. The case when there are no oscillations is also discussed.
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Dirichlet boundary value
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Neumann boundary value
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monotonicity
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oscillations
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0.9294484
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0.9162727
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0.91251284
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0.9122088
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0.9071413
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