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This paper studies the stability and boundedness of the solutions of Volterra integral differential equations with infinite delay in the phase space (Ch, |·|h), the h-uniform stability, h-uniformly asymptotic stability and h-boundedness of solutions are obtained. 相似文献
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本文利用 D算子的某些性质及 Liapunov泛函的方法 ,研究了具有无限时滞中立型泛函微分方程零解的一致稳定性与一致渐近稳定性 ,得到了新的结果 . 相似文献
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Jiabu Dishen 《Annals of Differential Equations》2014,(4):394-397
A new and convenient method is used to study the existence of periodic solutions to neutral functional differential equations with infinite delay. A new criterion for the existence of periodic solutions is obtained in this paper. 相似文献
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POSITIVE ALMOST PERIODIC SOLUTIONS OF n DIMENSIONAL NONAUTONOMOUS LOTKA-VOLTERRA COMPETITIVE SYSTEMS
Dishen Jiabu 《Annals of Differential Equations》2007,23(4):400-404
In this paper,we study some n dimensional nonautonomous Lotka-Volterra competitive ecological systems.We then obtain permanence of such systems, as well as the existence,uniqueness and global asymptotic stability of almost periodic positive solutions to these systems. 相似文献
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Dishen Jiabu 《Annals of Differential Equations》2005,21(3):260-263
In the phase space (Ch, |·|h), by using the Liapunov functional approach, sufficient and necessary criteria for the uniform stability and uniformly asymptotic stability of solutions to neutral-functional differential equations with infinite delay are established. We also prove that the uniformly asymptotic stability of the solutions implies the existence of the bounded ones. 相似文献
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Meng Fan Jiabu DishenQian Wan Ke Wang 《Journal of Mathematical Analysis and Applications》2002,276(2):545-560
Sufficient and necessary criteria are established for the uniform stability and uniformly asymptotic stability of solutions of neutral functional differential equations (NFDEs) with finite delay by using the Liapunov functional approach. We also prove that the uniformly asymptotic stability of solutions implies the existence of bounded solution. 相似文献
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本文研究了具有有限时滞中立型泛函微分方程解的有界性问题 ,得到了方程解的指数渐近稳定性蕴涵有界解的存在性的新的结果 相似文献
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