摘要
研究一类含扩散和时滞的偏微分方程解的振动性,利用平均法,通过使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,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 lower-solution method of partial functional differential equations and oscillation theory of functional differential equation, the oscillation of a partial differential equation with diffusion and delay is studied and a sufficient condition for all positive solution of the equation to oscillate about the positive equilibrium is obtained.
出处
《生物数学学报》
CSCD
北大核心
2006年第1期77-80,共4页
Journal of Biomathematics
基金
重庆邮电大学青年教师科技基金项目(A2005-14)
四川省学术与技术带头人基金资助项目(1200321)
关键词
时滞
扩散
上、下解
偏微分方程
振动性
Delay
Diffusion
Upper- and lower- solution
Population equation
Oscillation
