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具逐段常数变量时滞逻辑方程的振动性
Oscillation of Delay Logistic Equation with Piecewise Constant Arguments
【摘要】 研究具逐段常数变量时滞逻辑方程x. (t) =x(t) a + mi=1bixpi([t- k]) - mi=1cixqi([t- k]) ,得到了方程所有解振动的一个充分必要条件 ,推广了 G.L adas和 C.Qian(Dyna.Stab.Sys.9,1994)的结果 .
【Abstract】 This paper is concerned with the delay logistic equation with piecewise constant argumentsx·(t)=x(t)a+ mi=1b ix p i()-mi=1c ix q i(),and a necessary and sufficient condition for oscillation of all solutions of the equation is obtained which extends the corresponding conclusion of Ladas an d Qian(Dyna.Stab.Sys.9,1994).
【关键词】 时滞逻辑方程;
逐段常数变量;
振动;
【Key words】 delay logistic equation; piecewise constant argument; oscillation;
【Key words】 delay logistic equation; piecewise constant argument; oscillation;
【基金】 山西省自然科学基金 (2 0 0 0 10 0 1)
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University (Natural Science Edition) , 编辑部邮箱 ,2002年01期
- 【分类号】O175
- 【下载频次】12