一类非线性脉冲时滞差分方程的振动性和渐近性  

Oscillation and asymptotic behavior of the nonlinear impulsive delay difference equations

作　　者：葛礼霞[1] 姬春秋[1] 赵文英[1] 

机构地区：[1]牡丹江师范学院数学系,黑龙江牡丹江157012

出　　处：《山东理工大学学报（自然科学版）》2009年第5期90-92,97,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：讨论了非线性脉冲时滞差分方程{xn+1-xn+∑mi=1pi(n)fi(xn-ki)=0,n≥0,n≠nkxnk+1-xnk=bkxnk,k=1,2,3,…解的振动性和非振动解的渐近性,对现有文献中的某些结论进行了改进和推广.The following nonlinear impulsive delay difference equation is studied {xn＋1-xn＋∑i=1^m pi（n）fi（xn-ki）=0,n≥0,n≠nk xnk＋1-xnk=bkxnk,k=1,2,3,….The sufficient conditions are obtained for oscillation of all solutions and for the asymptotic behavior of nonoscillatory solutions.Some existing results from the literatures are improved.

关 键 词：非线性 脉冲时滞差分方程 振动性 

分 类 号：O175.7[理学—数学]