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New results of periodic solutions for a kind of forced Rayleigh-type equations. (English) Zbl 1186.34057

Summary: We use the coincidence degree theory to establish some new results on the existence and uniqueness of \(T\)-periodic solutions for the class of forced Rayleigh equation
\[ x{^{\prime\prime}}+f(t,x{^{\prime}}(t))+g(t,x(t))=e(t). \]

MSC:

34C25 Periodic solutions to ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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References:

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