含连续时滞和阻尼项的非线性双曲微分方程解的振动性  

Oscillation of solutions of nonlinear hyperbolic differential equation with continuous deviating arguments and damped terms

作　　者：高正晖[1] 杨柳[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《海军工程大学学报》2009年第3期46-50,94,共6页Journal of Naval University of Engineering

基　　金：湖南省自然科学基金资助项目(06JJ5001)

摘　　要：研究了一类含有连续偏差变元和阻尼项的非线性双曲型偏微分方程,获得了该方程在Robin边值条件和Dirichlet边值条件下解振动的一些充分条件,所得结果说明了时滞与阻尼项对解的振动性的影响。This paper dealt with oscillation of the solutions of nonlinear hyperbolic differential equation with continuous deviating argument and damped terms. Sufficient conditions for the oscillation of each solution of equation were obtained under Robin and Dirichlet boundary value conditions.

关 键 词：非线性双曲型偏微分方程 连续偏差变元 阻尼项 振动性 

分 类 号：O175.27[理学—数学]