摘要
研究一类具连续分布滞量的偶数阶非线性中立型偏泛函微分方程解的振动性,利用化多维振动问题为一维问题的方法,获得了该类方程在两类边值条件下所有解振动的新的充分条件,所得结果推广和包含了已知的一些结果.
The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied. Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi - dimensional oscillation problems to one -dimensional problems. Results obtained generalize and include some known results.
出处
《贵州师范大学学报（自然科学版）》
CAS
2006年第2期66-70,共5页
Journal of Guizhou Normal University：Natural Sciences
基金
国家自然科学基金资助项目(10471086)
湖南省教育厅2005年科研资助项目
关键词
偶数阶偏泛函微分方程
非线性中立型
振动性
连续分布滞量
even order partial functional differential equation
nonlinear neutral type
oscillation
continuous distributed delay
