非线性双曲型泛函偏微分方程系统解的振动性  

Oscillation of Solutions of Systems of Nonlinear Hyperbolic Functional Partial Differential Equations

作　　者：罗李平[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《中国海洋大学学报（自然科学版）》2008年第3期495-496,400,共3页Periodical of Ocean University of China

基　　金：湖南省自然科学基金项目(05JJ40008);2007年湖南省教育厅科研项目(07C164)资助

摘　　要：讨论一类非线性双曲型时滞偏微分方程系统解的振动性,利用积分不等式和泛函微分方程的某些结果,获得了该类系统振动的若干充分判据。结论充分表明振动是由时滞量引起的。The oscillation of solutions for a class of systems of nonlinear hyperbolic time delay partial differential equations is studied in this paper. Some sufficient conditions are obtained for oscillation of the systems under first boundary value conditions by making use of the integral inequalities and some results of the functional differential equations. The results fully indicate that the oscillation is caused by time delay.

关 键 词：非线性 双曲型偏微分方程系统 时滞 振动性 

分 类 号：O175.27[理学—数学]