带阻尼的非线性双曲型方程振动性的新结果  

New Results for Oscillation of Nonlinear Hyperbolic Equations with Damping

作　　者：罗李平[1] 罗振国[1] 曾云辉[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421002

出　　处：《数学的实践与认识》2015年第3期202-205,共4页Mathematics in Practice and Theory

基　　金：湖南省自然科学-衡阳联合基金(11JJ9002);湖南省"十二五"重点建设学科资助项目(湘教发[2011]76号)

摘　　要：研究了一类带阻尼的非线性双曲型方程的振动性,利用新的处理阻尼项及非线性项的技巧,建立了该类方程在Dirichlet边值条件下所有解振动的若干新的充分判据.The oscillations for a class of nonlinear hyperbolic differential equations with damping are investigated. By using a new technique of treating damping and nonlinear term, some new sufficient criteria for the oscillation of all solutions of the equations are established under Dirichlet boundary value condition.

关 键 词：非线性 双曲型方程 振动性 阻尼 

分 类 号：O175[理学—数学]