Periodic solutions for a third-order differential equation without asymptotic behavior on the potential (Q2428731)
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| English | Periodic solutions for a third-order differential equation without asymptotic behavior on the potential |
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Periodic solutions for a third-order differential equation without asymptotic behavior on the potential (English)
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20 April 2012
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Summary: We consider the third-order differential equation \(u''' +au'' + g(u')+cu=p(t)\), where \(g: \mathbb{R} \rightarrow \mathbb{R}\) is a continuous function. We prove the existence of \(\omega\)-periodic solution for this equation, using coincidence degree theory.
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ordinary differential equations
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periodic solutions
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coincidence degree theory
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