Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems-Reference-Cited by-同舟云学术

Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems

Published:2022-01-01 Issue:1 Volume:20 Page:1629-1641
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ling Rumin¹,Lu Mingxi¹,Feng Yuncheng¹,Xiao Huafeng¹²

Affiliation:

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

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

Abstract

Abstract In this article, we use the Nehari manifold method to study a class of fourth-order even difference systems. First, we show that there exist multiple periodic solutions to the non-autonomous system. Second, we obtain sufficient conditions to guarantee the existence of solutions with prescribed minimal periods to the autonomous system. Our results generalize the results in reference.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0532/pdf

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