Integrable condition and its computer determination for a kind of special abel equation 一類特殊阿貝爾方程的可積條件及計算機判定
The first chapter is overview , in which we introduce the closed solution and center of abel equation , some relative important results and the authors " work 論文第一章是綜述,介紹了abel方程的閉解和中心及有關(guān)的重要結(jié)果和作者所做的主要工作。
In the second chapter , the existence , uniqueness and only - two property of abel equation ' s limit cycles are discussed , and the relative results of wang rongliang and wu changzhi , zhang jianfeng are improved 第二章討論了abel方程極限環(huán)的存在性,唯一性和唯二性,改進了wangrongliang和wuchangzhi ,張劍峰的有關(guān)結(jié)果。
In the third chapter , making use of the results about abel equation , we discuss the existence , number and stability of the limit cycles of polynomial systems . the relative work of shui shuliang and cai suilin is generalized 第三章利用abel方程已有的結(jié)果來討論多項式系統(tǒng)的極限環(huán)的存在性,個數(shù)和穩(wěn)定性,推廣了水樹良和蔡燧林的相關(guān)工作。
In the fourth chapter , some general equations are studied , of which abel equation and some equations that have been intensively studied are the special cases . we obtain the theorems about the upper bound and existence of closed solution under some conditions , which generalize and improve the relative work of a . gasull and j . llibre , wang rongliang and wu changzhi , feng zhaosheng , zhang peijun and zhang houyang , feng zhaosheng and fei shumin 第四章討論了幾類較一般的方程,它們以abel方程和其它一些被廣泛研究的方程為特例,得到了一定條件下閉解個數(shù)的上限及閉解存在性的定理,推廣和改進了a . gasull和j . llibre , wangrongliang和wuchangzhi ,馮兆生,張培軍和張后揚, fengzhaosheng和feishumin的有關(guān)工作。
百科解釋
The Abel equation, named after Niels Henrik Abel, is special case of functional equations which can be written in the form