无限时滞中立型泛函微分方程解的有界性  

Boundedness for solution of neutral functional differential equation with infinite delay

作　　者：魏凤英[1] 王克[2] 

机构地区：[1]福州大学数学与计算机科学学院,福州350108 [2]哈尔滨工业大学(威海)数学系,威海264209

出　　处：《黑龙江大学自然科学学报》2009年第5期617-621,共5页Journal of Natural Science of Heilongjiang University

基　　金：福建省自然科学基金资助项目(S0750007);福州大学科技发展基金资助项目(2007-XQ-18)

摘　　要：选取空间Cg为无限时滞系统解所在的相空间,研究一类无限时滞中立型泛函微分方程解的指数渐近稳定性及有界性,运用Bellman不等式及比较原理,在适当的条件下,得到了无限时滞系统的解g-指数渐近稳定蕴涵g-有界性这一个新结论,该结论与迪申加卜在Ch空间中所得结论互不包含。Choosing the space Cg as the phase space of the solutions for the systems with infinite delay, the exponentially asymptotic stability and the boundedness of the solutions, for a king of neutral functional differential equations with infinite delay, are investigated. By using of Bellman inequality and the comparison theorem, under some suitable conditions, the new result that the g-exponentially asymptotic stability implies the g-boundedness of the solutions is obtained. The obtained results are different from the one given by Dishen Jiabu at the phase space Ch.

关 键 词：中立型泛函微分方程 无限时滞 g-指数渐近稳定 g-有界性 

分 类 号：O175.12[理学—数学]