Existence of Periodic Solutions for p-Laplacian Equations on Time Scales

Abstract

We systematically explore the periodicity of Liénard type p-Laplacian equations on time scales. Sufficient criteria are established for the existence of periodic solutions for such equations, which generalize many known results for differential equations when the time scale is chosen as the set of the real numbers. The main method is based on the Mawhin's continuation theorem.