具连续分布滞量的高阶非线性偏泛函微分方程的强迫振动性  

Forced Oscillation of High-order Nonlinear Partial Functional Differential Equations

作　　者：罗李平[1] 

机构地区：[1]衡阳师范学院数学系,衡阳421008

出　　处：《工程数学学报》2007年第1期133-137,共5页Chinese Journal of Engineering Mathematics

基　　金：湖南省自然科学基金(05JJ40008)

摘　　要：研究一类具连续分布滞量的高阶非线性偏泛函微分方程,利用微分不等式方法,给出了这类方程在三类边值条件下解的强迫振动的充分条件,所得结果推广和包含了已知的一些结论。This paper studies a class of high-order nonlinear partial functional differential equations with continuous distribution delay by using the method of differential inequality. The sufficient conditious are given for the forced oscillation of solutions of the equations under three boundary conditions. The obtained results generalize and include some known conclusions.

关 键 词：非线性 偏泛函微分方程 强迫振动性 连续分布滞量 

分 类 号：O175.29[理学—数学]