一类四阶非线性微分方程解的全局稳定性  

Global Stability of Solution for a Class of the Fourth Order Nonlinear Differential Equation

作　　者：卢德渊[1] 

机构地区：[1]贵州师范大学数学系,贵阳550001

出　　处：《贵州大学学报（自然科学版）》1995年第1期26-29,共4页Journal of Guizhou University:Natural Sciences

摘　　要：本文用J.A沃尔克(walker)及L.G克拉克(Clark)对非线性自治系统作李雅普诺夫函数的积分方法^([1])给出一类四阶非线性微分方程解的全局稳定性的充分条件.In this paper, we give some sufficient conditions of the global stability of solution for a class of the fourth order nonlinear differential equation, by means of Walker, J. A., Glark, L.G., An integral method of Liapunov function generation for nonlinear autonomous systems.

关 键 词：非线性 全局稳定性 常微分方程 解 

分 类 号：O175.14[理学—数学]