一类非线性脉冲时滞分数阶偏微分方程的振动分析  

Oscillation analysis of certain nonlinear impulsive delay fractional partial differential equations

作　　者：罗李平 LUO Li-ping(College of Mathematics and Statistics,Hengyang Normal University,Hengyang 421002,Hunan,China)

机构地区：[1]衡阳师范学院数学与统计学院,湖南衡阳421002

出　　处：《云南大学学报（自然科学版）》2023年第3期549-554,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：湖南省教育厅科研重点项目(21A0440);湖南省自然科学基金(2022JJ90021);衡阳师范学院学科专项(XKZX21002).

摘　　要：研究了一类带脉冲扰动及时滞效应的非线性分数阶偏微分方程解的振动性问题,利用积分平均方法和一阶脉冲时滞微分不等式的某些结果,建立了该类方程在Neumann边值条件下所有解振动的新的充分性判据,所得结果充分反映了脉冲量和时滞量在方程振动中的决定性作用.The oscillation problems are investigated for a class of nonlinear fractional partial differential equations with impulse perturbation and delay effect.By using the integral average method and some results of first order impulsive delay differential inequalities,some new sufficient criteria are established for the oscillation of all solutions of such equations under Neumann’s boundary value condition.The obtained results fully reflect the decisive role of impulse and delay in equation oscillation.

关 键 词：振动性 分数阶偏微分方程 非线性 脉冲 时滞 Riemann-Liouville导数 

分 类 号：O175.2[理学—数学]