Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations (Q738598)
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scientific article; zbMATH DE number 6622906
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations |
scientific article; zbMATH DE number 6622906 |
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Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations (English)
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5 September 2016
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The authors establish sufficient conditions on the existence of periodic solutions and homoclinic (to \(0\)) solutions for the equation \[ \Biggl(\frac{x'(t)}{\sqrt{1+{x'(t)}^2}}\Biggr)' + f(x'(t)) + g(x(t)) = e(t), \] where \(f,g,e\) are continuous functions, \(f(0)=g(0)=0\).
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prescribed mean curvature Rayleigh equation
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homoclinic solution
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periodic solution
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Mawhin's continuation theorem
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0.95238507
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0.9228564
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0.9128345
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0.91195077
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0.90972084
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