Existence of periodic solutions for the Newtonian equation of motion with p‐Laplacian operator

Abstract

In this paper, we study the existence of periodic solutions for the Newtonian equation of motion with p‐Laplacian operator by asymptotic behavior of potential function, establish some new sufficient criteria of existence of periodic solutions for the differential system under the frame of Fuc̆ik spectrum, generalize and improve some known works, and give an example to illustrate the application of the theorems. Copyright © 2017 John Wiley & Sons, Ltd.