非线性时滞微分方程的h-渐近稳定性  

H-Asymptotic Stability by Fixed Point in Nonlinear Differential Equations with Delay

作　　者：黄明辉 HUANG Minghui(Department of Foundation Courses, Guangzhou Hua Xia Technical College, Guangzhou 510935, Guangdong, China)

机构地区：[1]广州华夏职业学院基础部,广州510935

出　　处：《惠州学院学报》2017年第3期24-34,共11页Journal of Huizhou University

基　　金：广东省自然科学基金(2015A030310390)

摘　　要：采用Krasnoselskii不动点定理证明带可积时滞的非线性中立型微分方程零解的h-渐近稳定性.文中的结论进一步推广了Pinto and Sepulveda[4]的定理.同时,提供了一个例子加以说明所得的结果.In this article,we use a variant of Krasnoselskii's fixed point theorem to obtain h-asymptotic stability results about the zero solution of nonlinear neutral differential equations with functional delay.Our results generalize previous results due to Pinto and Sepulveda[4].We provide an example that illustrates our results.

关 键 词：h-渐近稳定 largecontraction 非线性 

分 类 号：O175.14[理学—数学]