具有时滞量及阻尼项的非线性双曲方程的振动性  

Oscillation of Nonlinear Hyperbolic Equations with Delay and Damping Term

作　　者：刘彩云 马亮星 LIU Caiyun;MA Liangxing(Department of Science,Taiyuan Institute of Technology,Taiyuan 030008;Northern Shanxi Machinery Manufacturing co. LTD,Taiyuan 030009 ,China)

机构地区：[1]太原工业学院理学系,山西太原030008 [2]山西北方机械制造有限责任公司,山西太原030009

出　　处：《太原师范学院学报（自然科学版）》2018年第4期12-15,共4页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：研究一类具有连续时滞量及阻尼项的非线性双曲方程的振动性,利用微分不等式方法及微积分技巧,获得该类方程在Robin边界条件下解振动的几个充分性判定定理,所得结果表明,时滞量及阻尼项均会影响方程解的振动性.To consider the oscillation of nonlinear hyperbolic equations with continuous delay and damping term, several sufficient conditions are obtained for every solution of Robin boundary value problem to be oscillatory by differential inequality and calculus skills. The results show that delay and damping term affect the oscillation of the solution.

关 键 词：阻尼项 非线性双曲方程 振动性 连续时滞 

分 类 号：O175[理学—数学]