Existence and uniqueness of periodic solutions for a class of generalized Liénard systems with forcing term. (English) Zbl 1170.34326
The authors consider a system of ODE’s in the plane, which contains as a special case the periodically forced Liénard equation. By the use of topological degree methods, they find sufficient conditions for the existence and uniqueness of periodic solutions having the same period of the forcing term. Their assumptions could be interpreted, roughly speaking, as some kind of non-resonance conditions with respect to the first eigenvalue.
Reviewer: Alessandro Fonda (Trieste)
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
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