一类带高阶Laplace算子偏微分方程系统解的振动性  

Oscillation for a Class of Partial Differential Equation Systems with High Laplace Operator

作　　者：曾云辉[1] 魏跃进[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]焦作师范高等专科学校数学系,河南焦作454150

出　　处：《河南师范大学学报（自然科学版）》2008年第5期30-32,共3页Journal of Henan Normal University(Natural Science Edition)

基　　金：湖南省教育厅基金(07C165)

摘　　要：讨论一类含高阶Lapace算子和连续分布滞量非线性中立型的偏微分方程系统解的振动性,利用Green公式和边值条件将这类非线性中立型偏微分方程系统的振动问题转化为微分不等式不存在最终正解的问题,并利用最终正解的定义和微分不等式方法,获得了该方程组在给定条件下振动的一些充分条件.In this paper, the oscillation for a class of nonlinear neutral partial differential equation systems is studied with high order Laplace operator and continuous distribution delay,The oscillatory problem of solution to the systems of nonlinear neutral partial differential equntions is reduced to the problem to which the neutral differential inequality has not eventual positive solution by using the Green＇s formula and boundary value condition, and thereby some sufficient conditions are obtained for oscillation of all solutions to such systems under the given boundary condition via the definition of eventually positin solution and the method of differential inequalities.

关 键 词：算子 连续分布滞量 振动性 

分 类 号：O175.27[理学—数学]