Resonance in nonlinear wave equations with \(x\)-dependent coefficients (Q1030095)
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scientific article; zbMATH DE number 5573721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Resonance in nonlinear wave equations with \(x\)-dependent coefficients |
scientific article; zbMATH DE number 5573721 |
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Resonance in nonlinear wave equations with \(x\)-dependent coefficients (English)
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1 July 2009
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To the model considered by \textit{V. Barbu} and \textit{N. H. Pavel} in [Trans. Am. Math. Soc. 349, No.~5, 2035--2048 (1997; Zbl 0880.35073)], a forcing term depending on an eigenvalue was added. The boundary conditions are of homogeneous Neumann-Dirichlet type. Under certain quite restrictive conditions, the authors prove the existence of at least one weak solution for the considered model. The approach is based on Leray-Schauder degree.
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wave equations
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\(x\)-dependent coefficients
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resonance
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periodic solution
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priori estimates
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topological degree
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forcing term
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Leray-Schauder degree
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0.95089376
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0.92544425
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0.91230935
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0.8970689
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0.8918404
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0.8894557
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0.8884598
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