Existence of periodic solution for first order nonlinear neutral delay equations (Q5950201)
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scientific article; zbMATH DE number 1679905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of periodic solution for first order nonlinear neutral delay equations |
scientific article; zbMATH DE number 1679905 |
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Existence of periodic solution for first order nonlinear neutral delay equations (English)
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4 April 2003
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nonlinear
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neutral delay equation
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periodic solution
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0.9713697
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0.95679194
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0.9511378
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0.9491356
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The authors discuss the following nonlinear neutral delay equation NEWLINE\[NEWLINE [x(t)+cx(t-\tau)]'+g(t, x(t-\sigma))=p(t), NEWLINE\]NEWLINE with \(\tau\geq 0, \sigma\geq 0\) and \(|c|<1\). By using the coincidence degree theory, they derive sufficient conditions for the existence of a periodic solution to the above equation.
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