带可积时滞的非线性中立型微分方程的h-渐近稳定性  

H-asymptotic stability by fixed point in nonlinear neutral differential equations with functional delay

作　　者：黄明辉[1] 

机构地区：[1]广州华夏职业学院基础部,广东广州510935

出　　处：《南阳师范学院学报》2017年第9期5-11,共7页Journal of Nanyang Normal University

基　　金：广东省自然科学基金资助项目(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的定理.同时,提供了一个例子加以说明所得的结果.In this paper, a variant of Krasnoselskii＇ s fixed point theorem is used to obtain the h-asymptotic stabil- ity results about the zero solution of nonlinear neutral differential equations with functional delay. The results fur- ther generalize previous results due to Pinto and Sepulveda. Meanwhile, an example is provided to illustrate the results.

关 键 词：h-渐近稳定 large CONTRACTION 非线性 

分 类 号：O175.14[理学—数学]