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Existence theorem of periodic positive solutions for the Rayleigh equation of retarded type. (English) Zbl 0963.34069
Summary: By using the coincidence degree theory, the authors give four sufficient conditions for the existence of periodic positive solutions to the following nonautonomous Rayleigh equation of retarded type \[ x''+ f(t, x'(t-\sigma))+ g(t, x(t-\tau))= p(t). \]

MSC:
34K13 Periodic solutions to functional-differential equations
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