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A periodic solution of the generalized forced Liénard equation. (English) Zbl 1470.34118

Summary: We consider the generalized forced Liénard equation as follows: \((\phi_p(x'))' +(f(x) + k(x) x') x' + g(x) = p(t) + s\). By applying Schauder’s fixed point theorem, the existence of at least one periodic solution of this equation is proved.

MSC:

34C25 Periodic solutions to ordinary differential equations
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