Periodic solutions for a class of \(n\)-th order functional differential equations (Q763005)
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scientific article; zbMATH DE number 6013234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for a class of \(n\)-th order functional differential equations |
scientific article; zbMATH DE number 6013234 |
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Periodic solutions for a class of \(n\)-th order functional differential equations (English)
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8 March 2012
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Summary: We study the existence of periodic solutions for the \(n\)-th order functional differential equation \(x^{(n)} (t) = \sum^{n-1}_{i=0} b_i[x^{(i)} (t)]^k + f(x(t - \tau(t))) + p(t)\). Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.
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coincidence degree theory
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