Existence of periodic solutions for the Newtonian equation of motion with <i>p</i>‐Laplacian operator-Reference-Cited by-同舟云学术

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

Published:2017-02-10 Issue:6 Volume:40 Page:2300-2308
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Liu Wenbin¹,Gao Peng¹,Zhang Wei¹

Affiliation:

1. Department of Mathematics China University of Mining and Technology Xuzhou 221116 China

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.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.4347

Reference14 articles.

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