一类非线性泛函微分方程解的渐近行为  

Asymptotic Behavior of Solutions for a Class of Nonlinear Functional Differential Equations

作　　者：谢永钦 刘轶 龙程 周克男 

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙

出　　处：《应用数学进展》2017年第3期275-282,共8页Advances in Applied Mathematics

基　　金：长沙理工大学研究生科研创新项目(No:cx2016ss18)资助。

摘　　要：本文研究一类具有分布时滞的三阶非线性泛函微分方程解的渐近行为,利用推广的Riccati变换和Young不等式,通过积分平均方法,获得了泛函微分方程一些新的振动性判据,改进和推广了最近文献中的一些结果。In this paper, we study the asymptotic behavior of solutions of third-order nonlinear functional differential equation with distributed delay. By using non-classical Riccati transformation, Young’s inequality and integral averaging, we establish some new sufficient conditions which ensure that every solution of this equation oscillated or converged to zero. Our results essentially improve and complement known results in the literature recently.

关 键 词：三阶中立型微分方程 振动准则 RICCATI变换 YOUNG不等式 

分 类 号：O1[理学—数学]