Homoclinic solutions of discrete $ p $-Laplacian equations containing both advance and retardation-Reference-Cited by-同舟云学术

Homoclinic solutions of discrete $ p $-Laplacian equations containing both advance and retardation

Published:2022 Issue:6 Volume:30 Page:2205-2219
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Mei Peng¹²,Zhou Zhan¹²,Chen Yuming³

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China

2. Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China

3. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada

Abstract

<abstract><p>We consider a $ 2m $th-order nonlinear $ p $-Laplacian difference equation containing both advance and retardation. Using the critical point theory, we establish some new and weaker criteria on the existence of homoclinic solutions with mixed nonlinearities.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference19 articles.

1. Z. Guo, J. Yu, Existence of periodic and subharmonic solutions for second order superlinear difference equations, Sci. China Ser. A: Math., 46 (2003), 506–515. https://doi.org/10.1007/BF02884022

2. L. Erbe, B. Jia, Q. Zhang, Homoclinic solutions of discrete nonlinear systems via variational method, J. Appl. Anal. Comput., 9 (2019), 271–294. https://doi.org/10.11948/2019.271

3. S. Elaydi, An Introduction to Difference Equations, Springer New York, 2005.

4. B. Zheng, J. Li, J. Yu, One discrete dynamical model on Wolbachia infection frequency in mosquito populations, Sci. China Math., 65 (2022), https://doi.org/10.1007/s11425–021–1891–7

5. Z. Balanov, C. García-Azpeitia, W. Krawcewicz, On variational and topological methods in nonlinear difference equations, Commun. Pure Appl. Anal., 17 (2018), 2813–2844. https://doi.org/10.3934/cpaa.2018133

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