Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 593-603.

• Articles •     Next Articles

Stability and Boundedness of Neutral Functional Differential Equations with Infinite Delay

 DI Shen-Jia-Bo, FAN Meng, WANG Ke   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    国家自然科学基金(10171010)和教育部科学技术重点项目(01061)资助

Abstract:

With the help of the phase space sufficient and necessary criterias are established for the uniform stability and uniformly asymptotic stability of solutions to neutral functional differential equations with infinite delay. In addition, the author also prove that the uniformly asymptotic stability of solutonsimplies the existence of the bounded solutions when the equation satisfies Lipschitz assumption.

Key words: Neutral differential equations, Infinite delay, Stability, Boundedness, Necessary and sufficient conditions

CLC Number: 

  • 34C25,34K20
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