中立型分数阶偏微分方程的振动性  

OSCILLATION OF FRACTIONAL NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS

作　　者：王续龙 龙思颖 刘安平[1] WANG Xu-long;LONG Si-ying;LIU An-ping(School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China)

机构地区：[1]中国地质大学(武汉)数学与物理学院,湖北武汉430074

出　　处：《数学杂志》2023年第2期159-167,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China,(41630643).

摘　　要：本文研究了一类中立型分数阶偏微分方程的振动性,利用积分平均值方法和拉普拉斯变换,得到了方程振动新的准则,推广了中立型偏微分方程振动的一些经典结论.In this paper,we study the oscillation of a fractional neutral partial differential equation subject to Neumann boundary condition.Using an integration average technique and the Laplace transform,we obtain some new oscillation criteria,which are the generalization of some classical results involving partial differential equations.Some examples are given to show the applications of our main results.

关 键 词：分数阶微分方程 中立型 振动 拉普拉斯变换 

分 类 号：O175[理学—数学]