一类二阶中立型差分方程正解的渐近稳定性  

Asymptotic Stability of Positive Solutions of Second Order Neutral Differential Equations

作　　者：孙喜东[1] 刘柏枫[1] 刘晓辉 

机构地区：[1]山东工商学院数学与信息科学学院,山东烟台264005 [2]承德民族高等师范专科学校化学系,河北承德067000

出　　处：《数学的实践与认识》2009年第17期215-218,共4页Mathematics in Practice and Theory

摘　　要：研究了下列二阶中立型差分方程Δ2[x(n)-px(n-τ)]+q(n)x(g(n))=0,n n0正解渐近趋向于零的充分条件.The aim of this paper is to present sufficient conditions for all psitive solutions of the second order difference equations of the neutral type （1） to be nonoscillatory. Some new sufficient conditions for the convergence to zero of nonoscillatory solutions of （1） are derived also.

关 键 词：中立型 差分方程 渐近稳定性 

分 类 号：O175.7[理学—数学] O175.13[理学—基础数学]