一类高阶非线性中立型偏微分方程系统解的振动性  

Oscillation of Solutions to Higher-order Nonlinear Differential Equations of the Neutral Type

作　　者：戴冰[1] 李树勇[2] 王小静[3] 

机构地区：[1]成都七中嘉祥外国语学校,成都610023 [2]四川师范大学数学与软件科学学院,成都610066 [3]成都双流中学,成都610200

出　　处：《工程数学学报》2009年第3期504-508,共5页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10671133);四川省学术和技术带头人培养资金(1200311)

摘　　要：本文讨论一类高阶非线性中立型偏微分方程在Robin边界条件下解的振动性。利用垂直相加法和平均法,把该方程解的振动问题转化为泛函微分不等式正解问题。借助微分不等式的有关结论和分析技巧,建立该方程所有解振动的几个充分条件。The oscillation of a class of higher-order nonlinear neutral differential equations under Robin boundary conditions were studied. The oscillatory problem of the equation was transformed into the positive solution of functional differential inequalities by using the method of vertical adding and average. Some sufficient conditions have been established for the oscillation of solutions to the equations by results on differential inequalities.

关 键 词：高阶 非线性 中立型 振动性 

分 类 号：O175.4[理学—数学]