具连续变量脉冲差分方程解的振动性(英文)  

Oscillation of Solutions of Impulsive Difference Equations with Continuous Variable

作　　者：魏耿平[1] 申建华[2] 

机构地区：[1]怀化学院数学系,湖南怀化418008 [2]湖南师范大学数学系,湖南长沙410081

出　　处：《应用数学》2005年第2期293-296,共4页Mathematica Applicata

基　　金：Supported by NNSF of China(10071018)

摘　　要：考虑新的一类具有连续变量的脉冲差分方程x(t +τ) - x(t) + p(t)x(t - rτ) =0,x(tk +τ) - x(tk) = bkx(tk),　t≥t0 -τ,t≠tk,t∈N(1),其中p(t)是[t0 -τ,∞]上的非负连续函数,τ>0,bk 是常数,r是正整数, 0≤t0 < t1 < t2 <…< tk <…且limk→∞tk =∞,获得了方程所有解振动的充分条件.We obtian sufficient conditions for osillat io n of all solutions of the impulsive difference equation with continuous variablex(t+τ)-x(t)+p(t)x(t-rτ)=0, x(t k+τ)-x(t k)=b kx(t k), t≥t 0-τ,t≠t k, t∈N(1),where p(t)≥0 is continuous on [t 0-τ,∞],τ>0,b k are constants, r is a positive integer,0≤t 0<t 1<t 2<…<t k<… with lim k→∞t k=∞.

关 键 词：具连续变量差分方程 脉冲 振动 

分 类 号：O175.7[理学—数学]