一类Volterra方程极限环的存在性和稳定性

一类Volterra方程极限环的存在性和稳定性

盖平¹, 刘停战², 鲍智娟¹

1. 白城师范学院数学系, 白城 137000; 2. 吉林大学数学研究所，长春 130012

收稿日期:2004-03-01 修回日期:1900-01-01 出版日期:2004-07-26 发布日期:2004-07-26
通讯作者: 盖平

Existence and stability of limit cycle fora class of Volterra equations

GAI Ping¹, LIU Ting-zhan², BAO Zhi-juan¹

1. Department of Mathematics, Baicheng Normal College, Baicheng 137000, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2004-03-01 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: GAI Ping

摘要/Abstract

摘要： 通过构造Dulac函数，作Poincaré环域外境界线，应用张芷芬惟一性定理和分支问题的Friedrich方法，对Volterra方程进行了研究，在较一般的条件下讨论了Volterra方程极限环的存在性和稳定性.

关键词: 极限环, Volterra方程, 惟性, 奇点

Abstract: We studied the existence and stability of limit cycles for a class of Volterra equations by constructing the Dulac function and Poincaré region, and applying the uniqueness theorem and the Friedrich methods for bifurcations and obtained several results on the existence and stability of limit cycles.

Key words: limit cycles, Volterra equations, uniqueness, singular point

中图分类号:

O153

盖平, 刘停战, 鲍智娟. 一类Volterra方程极限环的存在性和稳定性[J]. J4, 2004, 42(03): 375-376.

GAI Ping, LIU Ting-zhan, BAO Zhi-juan. Existence and stability of limit cycle fora class of Volterra equations[J]. J4, 2004, 42(03): 375-376.

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