摘要
给出了一类一阶非线性泛函微分方程解的振荡性的充分性判据,并用例子说明了用线性化方程的振荡性判据去给出非线性方程的振荡性的判据有时是错误的。同时,得到了时滞的单种群方程的解的振荡性的一些充分性判据。
By linearlized methods this paper gives some sufficient conditions for solutions to a kind of first order nonlinear FDE to be oscillatory. Some examples are also given to show that some sufficient conditions for solutions to linearlized equations to be oscillatory awaysl not be sufficient for solutions to first order nonlinear FDE tO be oscillatory. This fact is first pointed out by G S Ladde. In this paper some sufficient conditions are obtained, under which all solutions to single population retarded equations are oscillatory.
出处
《复旦学报（自然科学版）》
CAS
CSCD
北大核心
1992年第1期69-82,共14页
Journal of Fudan University：Natural Science
关键词
单种群模型
振荡型
泛函数分方程
oscillations, linearization
functional differential equation, single population model.
