Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian-Reference-Cited by-同舟云学术

Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian

Published:2018 Issue: Volume:2018 Page:1-14
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Xie Junping¹²^ORCID,Zhang Xingyong³⁴^ORCID

Affiliation:

1. School of Geosciences and Info-Physics, Central South University, Changsha, Hunan 410083, China

2. Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Central South University, Ministry of Education, Changsha, China

3. Faculty of Science, Kunming University of Science and Technology, Kunming, Yunnan 650500, China

4. School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, China

Abstract

By using the symmetric mountain pass lemma, we investigate the problem of existence of infinitely many solutions for a class of fractional impulsive coupled systems with (p,q)-Laplacian, which possesses mixed type nonlinearities, and the nonlinearities do not need to satisfy the well-known Ambrosetti-Rabinowitz condition.

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2018/9256192.pdf

Reference44 articles.

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2. Minimax Methods in Critical Point Theory with Applications to Differential Equations

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4. Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems

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