On Periodic Solutions of Nonlinear Differential Equations with P -laplacian-like Operators

Abstract

The existence results for periodic solutions of second order p-Laplacian differential equation are established. The methods and the results are new since the condition imposed on φ is as follows lim x→+∞ G(x) [φ−1(x)]θ+1 > m 2 r2, where G(x) = R x 0 φ−1(s) ds, φ−1 is the inverse function of the p-Laplacian operator φ, and m2, θ, and r2 are constants… (More)

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