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

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 minim...

Full description

Saved in:
Bibliographic Details
Published in:Open mathematics (Warsaw, Poland) Poland), 2022-12, Vol.20 (1), p.1629-1641
Main Authors: Ling, Rumin, Lu, Mingxi, Feng, Yuncheng, Xiao, Huafeng
Format: Article
Language:English
Subjects:
39A23
49J35
critical point theory
difference equations
multiplicity
periodic solutions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2022-0532