一类中立型抛物偏泛函微分方程解的振动性  

Oscillation of solutions of a class of neutral parabolic partial functional differential equations

作　　者：崔淑莉[1] 

机构地区：[1]石河子大学理学院,石河子832003

出　　处：《黑龙江大学自然科学学报》2015年第1期63-67,共5页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金地区科学基金资助项目(51469028)

摘　　要：研究一类中立型抛物偏泛函微分方程解的振动性。利用振动的定义和分析的技巧,把中立型抛物微分方程的振动问题转化为泛函微分不等式不存在最终正解的问题,获得在齐次Dirichlet、Neumann和Robin边界条件下,方程解振动的新的充分条件。结果表明时滞量对振动的决定性作用,同时也可应用于以前所不能处理的某些情形。实例说明了结论的有效性。Oscillation of solutions for a class of neutral parabolic partial functional differential equations is studied. Some new sufficient conditions are obtained for oscillation of solutions of such equation with the homogeneous Dirichlet, Neumann and Robin＇ s boundary conditions by using oscillatory definition and analyzing technique to change the oscillatory problem of solutions into the problem of which functional differential inequality have not eventually positive solution. The results fully indicate that the oscillations are caused by delay and can be applied to extreme cases. An example is given to illustrate the practicality of the results.

关 键 词：振动 抛物偏泛函微分方程 中立型 超线性 次线性 

分 类 号：O175.26[理学—数学]