具有分段常数变元的Logistic型积分微分方程的振动性  

Oscillatory of the Logistic integro-differential equations with piecewise constant argument

作　　者：黄利航[1] 魏凤英[2] 李炳杰[1] 

机构地区：[1]空军工程大学理学院,陕西西安710050 [2]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2010年第4期476-480,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(S075007)

摘　　要：研究了一类具有分段常数变元的Logistic型积分微分方程,并利用已知方法将其线性化.通过研究此线性方程所对应的特征方程,得到了线性化方程解振动的充要条件,从而也就获得了原方程解振动的充要条件,最终说明所得到的线性化方程具有一般性,通过对其简化可以得到已知文献研究的方程的线性化方程和方程解振动的充分条件.We investigate the oscillation of Logistic integro - differential equations with piecewise constant argument, which was linearized using the existing method. The sufficient and necessary conditions are obtained for the oscillation of all solutions based on the roots of the characteristic equations of the linear equation. The sufficient and necessary conditions of the original equations are also obtained. It is further demonstrated that our linear equation is universal. We can also obtain the linear equation and the sufficient and necessary conditions for the solutions reported in the literatures by predigesting our equation.

关 键 词：分段常数变元 LOGISTIC 积分微分方程 振动性 

分 类 号：O175.7[理学—数学]