华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (1): 17-20.

• 论文 • 上一篇    下一篇

具有变系数Lyness方程的有界持久性

李先义   

  1. 华东师范大学 数学系， 上海 200062
  • 收稿日期:2001-04-11 修回日期:2002-03-09 出版日期:2003-03-25 发布日期:2003-03-25

Boundedness and Persistence of Lyness Equation with Variable Coefficients

LI Xian-yi

  

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2001-04-11 Revised:2002-03-09 Online:2003-03-25 Published:2003-03-25

摘要： 该文首先找到一个具有变系数方程的不变量；然后，利用这个不变量，得到具有变系数的Lyness方程的有界持久性。该结果部分地解决了G.Ladas提出的一个公开问题。

关键词: 具有变系数的Lyness方程, 不变量, 有界持久性, 具有变系数的Lyness方程, 不变量, 有界持久性

Abstract: In this paper an invariant of an equation with variable coefficients is first found. Then, by utilizing the invariant, the boundedness and persistence of solutions of the Lyness equation is derived. Our result partly solves an open problem given by G.Ladas.

Key words: variable coefficient, invariant, boundedness and persistence, Lyness' equation, variable coefficient, invariant, boundedness and persistence