广义Lienard系统初值解的唯一性  

Uniqueness of the Solution of Generalized Liénard System to the Initial Value Problem

作　　者：孙瑞德[1] 

机构地区：[1]青岛大学理工学院数学系,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2004年第2期25-28,共4页Journal of Qingdao University(Natural Science Edition)

摘　　要：目的是研究广义Lienard系统初值问题解的唯一性,所采用的主要方法是微分方程的比较定理,给出了两个定理,这两个定理改进了篇末文献中的有关结果,其中定理1不要求h单调,定理2不要求F满足局部Lipschitz条件,两个定理都减弱了g(x)应满足的条件。In this article, we discuss the uniqueness of the solution of generalized Liénard system to the initial value problem, and the main method we use is the comparative theorem in differential equation. Finally we give two theorems, Which improved the results in the references listed at the end of this article. In theorem 1 we don't need h monotone, in theorem 2 we don't need F saeisfying local Lipschitz condition. They reduced the conditions melting g(x).

关 键 词：LIENARD系统 解 唯一性 

分 类 号：O175.12[理学—数学]