A Note on the Partial Stability of Retarded System Using Liapunov Functions
Received:April 16, 2015  Revised:November 17, 2015
Key Word: retarded functional differential equation   solution   stability  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11171014).
Author NameAffiliation
Jiemin ZHAO Department of Mathematics and Physics, Beijing Union University, Beijing 100101, P. R. China 
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Abstract:
      Sufficient conditions for the stability with respect to part of the functional differential equation variables are given. These conditions utilize Lyapunov functions to determine the uniform stability and uniform asymptotic stability of functional differential equations. These conditions for the partial stability develop the Razumikhin theorems on uniform stability and uniform asymptotic stability of functional differential equations. An example is presented which demonstrates these results and gives insight into the new stability conditions.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.04.010
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