非线性抛物型偏泛函微分方程的强迫振动性  

Forced Oscillation of Nonlinear Parabolic Partial Functional Differential Equations with Continuous Distribution Delay

作　　者：罗李平[1] 欧阳自根[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]南华大学数学系,湖南衡阳421001

出　　处：《太原理工大学学报》2008年第1期97-100,103,共5页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(10471086);湖南省教育厅科技计划项目(07C164)

摘　　要：研究了一类具有连续分布滞量的非线性中立型抛物偏泛函微分方程的强迫振动性,利用Green定理和Jensen不等式将多维振动问题转化为关于某一类具连续分布滞量的非线性中立型微分不等式的一维问题,给出了这类方程在三类不同边值条件下所有解强迫振动的若干充分条件。We study the forced oscillation for a class of nonlinear parabolic partial functional differential equations with continuous distribution delay. To reduce the multi-dimensional oscillation problems to one-dimensional problems for certain nonlinear neutral differential inequalities with continuous distribution delay by using Green＇s theorem and Jensen＇s inequality, some sufficient conditions are given for oscillation of solutions of the equations under three different boundary value conditions.

关 键 词：非线性 中立型 抛物型偏泛函微分方程 强迫振动性 连续分布滞量 

分 类 号：O175.26[理学—数学]