Existence of Periodic Solution for Perturbed Generalized Liénard Equations

On the Existence of Periodic Solutions for p-Laplacian Generalized Liénard Equation

By employing Mawhin’s continuation theorem, the existence of periodic solutions of the p-Laplacian generalized Liénard equation with deviating argument (φp(x′(t)))′ + f(t, x(t))x′(t) + β(t)g(x(t− τ(t))) = e(t) under various assumptions are obtained. Keywords—periodic solution, Mawhin’s continuation theorem, deviating argument.

Uniqueness of Periodic Solution for a Class of Liénard p-Laplacian Equations

Copyright q 2010 Fengjuan Cao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By topological degree theory and some analysis skills, we consider a class of generalized Liénard type p-Laplacian equations. Upon some suitable ...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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ON TE EXISTENCE OF PERIODIC SOLUTION FOR CERTAIN NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS

The number of medium amplitude limit cycles of some generalized Liénard systems

We will consider two special families of polynomial perturbations of the linear center. For the resulting perturbed systems, which are generalized Liénard systems, we provide the exact upper bound for the number of limit cycles that bifurcate from the periodic orbits of the linear center.