摘要
研究一类非线性时滞双曲型偏泛函微分方程解的振动性,利用微分不等式方法和广义Riccati变换,获得了该类方程在第一类边值条件下振动的新的充分条件,所得结果通过实例加以阐明.
Oscillatory properties for solutions of a class of nonlinear hyperbolic partial functional differential equation with several delays were studied, and the new sufficient conditions for oscillation of these equations were obtained under the first boundary value condition by using the method of differ ential inequalities and the generalized Riccati transformation. An example was given to illustrate the result.
出处
《海军工程大学学报》
CAS
北大核心
2006年第6期7-9,共3页
Journal of Naval University of Engineering
基金
国家自然科学基金资助项目(10471086)
关键词
非线性
时滞
肛曲型偏微分方程
振动性
广义Riccati变换
nonlinear
delay
hyperbolic partial differential equation
oscillation
generalized Riccati transformation
