A priori bounds for periodic solutions of a delay Rayleigh equation (Q1808521)
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scientific article; zbMATH DE number 1369370
| Language | Label | Description | Also known as |
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| English | A priori bounds for periodic solutions of a delay Rayleigh equation |
scientific article; zbMATH DE number 1369370 |
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A priori bounds for periodic solutions of a delay Rayleigh equation (English)
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22 February 2002
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Consider the delay equation \((*)\) \(x'' (t) + \lambda f(x' (t)) + \lambda g(x(t-\tau (t))) =\lambda p(t),\) where all functions are continuous, \(\tau\) and \(p\) are \(2\pi\)-periodic, \(f(0)=0.\) The authors establish a priori bounds on periodic solutions to \((*)\) and prove a theorem on the existence of periodic solutions by means of the continuation method.
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a priori bounds
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periodic solutions
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delay Rayleigh equation
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