具强迫项高阶非线性中立型差分方程的振动性与渐近性  

Oscillatory and asymptotic behavior of higher order Nonlinear neutral difference equations with forcing term

作　　者：杨军[1] 关新平[2] 刘树堂[3] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]燕山大学数学系,秦皇岛066004 [3]滨州师专数学系,滨州256604

出　　处：《纯粹数学与应用数学》1999年第4期30-36,共7页Pure and Applied Mathematics

基　　金：机械工业部科技基金!( 972 5 0 5 1 7);黑龙江省自然科学基金!( 95 1 5 )

摘　　要：讨论具强迫项高阶非线性中立型差分方程△m(xn+∑si=1pi(n)xγi(n))+∑kj=1qj(n)hj(xσj(n))=fn,n=0,1,2,…及其相关联的差分方程△m(xn+∑si=1pi(n)xγi(n))+∑kj=1qj(n)hj(xσj(n))=0,n=0,1,2,…的振动性与渐近性,得到了所有解振动或趋于零的充分性判据.This paper is concerned with the oscillatory and asymptotic behavior of solutions for higher order nonlinear neutral difference equations with forcing term △ m(x n+∑si=1p i(n)x γ i(n) )+∑kj=1q j(n)h j(x σ j(n) )=f n, n=0,1,2,… and the associated difference equations △ m(x n+∑si=1p i(n)x γ i(n) )+∑kj=1q j(n)h j(x σ j(n) )=0, n=0,1,2,… We obtain some sufficient criteria for all solutions of the equations to oscillate or tend to zero.

关 键 词：高阶非线性差分方程 强迫差分方程 振动性 渐近性 

分 类 号：O175[理学—数学]