| 具连续变量脉冲差分方程解的振动性 |
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| 引用本文： | 魏耿平,申建华.具连续变量脉冲差分方程解的振动性[J].应用数学,2005,18(2):293-296. |
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| 作者姓名： | 魏耿平 申建华 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 具连续变量差分方程 脉冲 振动 |
Oscillation of Solutions of Impulsive Difference Equations with Continuous Variable |
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| WEI Geng-ping,SHEN Jian-hua.Oscillation of Solutions of Impulsive Difference Equations with Continuous Variable[J].Mathematica Applicata,2005,18(2):293-296. |
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| Authors: | WEI Geng-ping SHEN Jian-hua |
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| Abstract: | We obtian sufficient conditions for osillation of all solutions of the impulsive difference equation with continuous variable{x(t+τ-x(t)+p(t)x(t-rτ)=0, t≥to-τ,t≠tk, x(tk+τ)-x(tk)=bkx(tk), t∈ N(1),where p(t)≥0 is continuous on t0 -τ,∞],τ＞ 0,bk are constants, r is a positive integer, 0 ≤ t0
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| Keywords: | Difference equation with continuous variable Impluse Os cillation |
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