Resonant semilinear problems with nonlinear term depending on the derivative (Q1876713)
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scientific article; zbMATH DE number 2093802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resonant semilinear problems with nonlinear term depending on the derivative |
scientific article; zbMATH DE number 2093802 |
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Resonant semilinear problems with nonlinear term depending on the derivative (English)
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20 August 2004
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The author studies the Dirichlet problem for a second-order ODE at resonance whose nonlinearity is of bounded variation and only depends on the derivative. He proves that the forcing term can be perturbed from its ``natural'' position without affecting the existence of solutions.
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Dirichlet boundary value problems
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resonance
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bounded nonlinearities
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Lyapunov-Schmidt reduction
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