一类循环方程组在曲面上不存在完整非平凡周期解的充分条件  

Sufficient conditions for the nonexistence of complete nontrivial periodic solutions for a class of cyclic equations on a surface

作　　者：李占勇 官春梅 LI Zhanyong;GUAN Chunmei(School of Mathematics and Statistical,Kashi University,Kashi 844006,China)

机构地区：[1]喀什大学数学与统计学院,新疆喀什844006

出　　处：《高师理科学刊》2021年第6期1-4,共4页Journal of Science of Teachers＇College and University

基　　金：国家自然科学基金项目(12061039)。

摘　　要：提出循环方程组的概念,研究了一类满足一定条件的循环方程组在曲面上不存在完整非平凡周期解的充分条件.给出了充分条件不成立时,该类循环方程组在曲面上存在完整非平凡周期解的特例.The concept of cyclic equations is proposed,the sufficient conditions for the nonexistence of complete nontrivial periodic solutions for a class of cyclic equations satisfying certain conditions on a surface are studied.A special case of complete nontrivial periodic solutions on a surface is given when the sufficient conditions are not tenable.

关 键 词：循环方程组 非平凡周期解 斯托克斯公式 

分 类 号：O173.1[理学—数学]