一类中立型阻尼泛函微分方程的振动性  

Oscillation of Certain Second Order Neutral Damped Functional Differential Equations

作　　者：林文贤[1] 

机构地区：[1]韩山师范学院数学与应用数学系,广东潮州521041

出　　处：《四川师范大学学报（自然科学版）》2013年第3期396-398,共3页Journal of Sichuan Normal University（Natural Science）

基　　金：广东省自然科学基金(10152104101000008)资助项目;韩山师范学院科研团队项目资助

摘　　要：由于具有时滞的泛函微分方程模型比传统微分方程模型能更加真实地反映客观现实,因而对其研究有着重要的理论和现实意义.研究一类具多时滞的二阶非线性中立型阻尼泛函微分方程,通过引入参数函数,结合广义Riccati变换和积分平均技巧,给出了该类方程的所有解振动的若干充分条件,推广和改进最近文献的结果.Since the model of functional differential equations with delays Can describe the real world more accurately than tradi- tional differential equations, the study of functional differential equations has important theoretic meaning and practical value. A class of second order nonlinear neutral damped functional differential equations with multiple delays is investigated. By introducing parameter function and employing the generalized Riccati transformation and the integral averaging technique, some sufficient conditions for the oscillation of all solutions for such equations are obtained. The corresponding results in known literature are extended and improved.

关 键 词：阻尼项 最终正解 参数函数 振动性 

分 类 号：O175.10[理学—数学]