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Existence and uniqueness of periodic solutions for a kind of Liénard type \(p\)-Laplacian equation. (English) Zbl 1161.34022

The author proves the existence and uniqueness of a periodic solution for an ordinary differential equation involving a differential operator of p-Laplacian type. The assumptions made imply non-resonance with respect to the “spectrum” of the differential operator, in the sense that the nonlinearity stays below the first eigenvalue. The uniqueness is attained assuming the nonlinearity to be strictly decreasing.

MSC:

34C25 Periodic solutions to ordinary differential equations
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References:

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