Periodic solutions of forced Liénard-type equations. (English) Zbl 1071.34041

The authors establish the existence of periodic solutions for forced Liénard-type equations \[ \ddot{x}+f_1(x)\dot{x}+f_2(x)\dot{x}^2+g(x)=e(t) \] under appropriate conditions based on Mawhin’s coincidence degree theory and Borsuk’s theorem.


34C25 Periodic solutions to ordinary differential equations
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