具有时滞的非线性强迫微分方程振动的充分必要条件(英文)  

Necessary and sufficient condition for the oscillation offorced nonlinear differential equation with delayed

作　　者：孙元功[1] 

机构地区：[1]曲阜师范大学数学系,山东曲阜273165

出　　处：《纯粹数学与应用数学》2002年第2期170-173,共4页Pure and Applied Mathematics

摘　　要：对于一类特殊的具有时滞的二阶次线性强迫微分方程 x″( t) + a( t) | x(τ( t) ) | γsgnx(τ( t) ) =g( t) ( 0 <γ<1 ) 。For a special class of nonlinear second order forced differential equation with delayed argument x″(t)+a(t)|x(τ(t))| γ sgn x(τ(t))=g(t) in the sublinear ease (0<τ<1) , a necessary and sufficient condition for the oscillation of all its solutions is given.

关 键 词：非线性强迫微分方程 振动 时滞项 充要条件 

分 类 号：O175[理学—数学]