具有分布时滞的一阶中立型泛函微分方程的振动性  

Oscillation of Certain First Order Neutral Functional Differential Equations with Distributed Delays

作　　者：陈大学[1] 周树清[2] 龙玉花[1] 

机构地区：[1]湖南工程学院数理系,湘潭411104 [2]湖南师范大学数学与计算机科学学院,长沙410081

出　　处：《工程数学学报》2009年第3期533-541,共9页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学数学天元基金(A0324632);湖南省教育厅资助科研项目(06C242)

摘　　要：中立型泛函微分方程的振动性在理论和应用中有着重要意义。对于具有离散时滞的一阶中立型泛函微分方程的振动性,已经有了许多研究结果。但对于具有分布时滞的一阶中立型泛函微分方程的振动性的研究结果很少。本文研究一类具有分布时滞的一阶中立型泛函微分方程的振动性,建立了该类方程所有解振动的几个充分条件。所得结果改进了现有文献的一些结果。The oscillation of neutral functional differential equations has important implications in both theory and application. There have been many results about the oscillation for first order neutral functional differential equations with discrete delays, but there are few research results about the oscillation for first order neutral functional differential equations with distributed delays. This paper investigates the oscillation of certain first order neutral functional differential equations with distributed delays, we establish several sufficient conditions for the oscillation of all solutions of the equations. The obtained results improve some known results in the literature.

关 键 词：分布时滞 中立型泛函微分方程 振动性 

分 类 号：O175.12[理学—数学]