Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system

Open Mathematics

Liu Xia¹  Shi Haiping²  Zhou Tao³ 

[1] College of Continuing Education and Open College, Guangdong University of Foreign Studies, Guangzhou, 510420, China;Modern Business and Management Department, Guangdong Construction Polytechnic, Guangzhou, 510440, China;The Faculty of Economics, Guangdong University of Finance and Economics, Guangzhou, 510320, China;

关键词: minimal period;    2nth-order;    nonlinear;    discrete system;    critical point;    39a23;    34c25;    58e05;    37j45;   

DOI  :  10.1515/math-2019-0102

来源: DOAJ

【 摘 要 】

In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is the first time to discuss the periodic solutions with prescribed minimal period for a 2nth-order discrete system.

【 授权许可】

Unknown