一类三阶非线性非自治系统解的有界性  

The Boundedness of Solutions of a Class of Third-Order Nonlinear and Nonautonomous system

作　　者：侯霞[1] 孙武军[1] 

机构地区：[1]新疆大学数学系,乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）》1999年第3期53-56,共4页Journal of Xinjiang University(Natural Science Edition)

摘　　要：本文利用一类三阶非线性自治系统的李雅普诺夫函数，给出了一类三阶非线性非自治系统解有界的充分性准则，推广了文［１－ ２］的结果．In this paper, we m ake useofthe liapunov's function ofa class ofthird-ordernonlinear autonom oussys- tem on the basis ofpaper[1- 2] and obtain sufficientconditionsofthe boundedness ofthesolutions ofa class of third-order nonlinear and nonautonom oussystem . Our conclusion im prove the results ofthe paper[1- 2].

关 键 词：非自治系统 李雅普诺夫函数 有界性 非线性系统 

分 类 号：O175.14[理学—数学] O231[理学—基础数学]