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Periodic solutions of Liénard systems at resonance. (English) Zbl 0577.34035

On examine des solutions du problème \[ (1)\quad \ddot x+\frac{d}{dt}(Grad F(x(t)))+g(t,x(t))=e(t),x(0)-x(2\pi)=\dot x(0\quad)- \dot x(2\pi)=0, \] dans les conditions convenables suffisantes. Dans ce sens sont démontres quatre théorèmes. Il s’agit de \(2\pi\)- périodiques solutions et on utilise une méthode de C. P. Gupta et J. Mawhin.
Reviewer: S.Manolov

MSC:

34C25 Periodic solutions to ordinary differential equations
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