摘要
利用偏泛函微分方程上下解思想和泛函微分方程振动性理论,研究一类含扩散项的时滞生态模型解的振动性,获得了其解的非负性和关于正平衡态振动的充分条件。
By using upper and lowersolution method of partial functional differential equations and oscillation theory of functional differential equations, the oscillation of a population equation with diffusion and delay was studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium was obtained.
出处
《工程数学学报》
CSCD
北大核心
2003年第1期139-142,共4页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金资助项目(19971066)
四川省教育厅重点资助项目(01LA42).
关键词
扩散
时滞
生态模型
振动性
下解
上解
diffusion
delay
population equation
oscillation
upper-and lower-solution
