Variational Lyapunov Method And Stability Theory

In thlspaper；by using x·arlatlonal Lyapunov method．we willestablish some crlterla on the properties ofsolutlons of＊thetlons perturbed dl征ren－tial equations,such as stahl呐；boundedness；eventualstablllty and stah1心m庄r＊Sd tw。＊e朋皿辟．hm郴m卜汕山e协＊郧优叨仇obtmnd灯mmgLx'apullov method,It Is not dl用cult tofind that variational Lyapunov methodIs an extension ofLyapunov method and the former results can be viewed a．sthe spedal cases of the theorems here．...