scholarly journals Uniform Asymptotic Stability of Abstract Functional Differential Equations

1997 ◽  
Vol 216 (2) ◽  
pp. 626-643 ◽  
Author(s):  
Xinzhi Liu ◽  
Dao Yi Xu
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Uniform Asymptotic Stability ◽  
Functional Differential

scholarly journals On Stability of Linear Delay Differential Equations under Perron's Condition

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
J. Diblík ◽  
A. Zafer
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Zero Solution ◽  
Uniform Asymptotic Stability ◽  
Linear Delay ◽  
Functional Differential ◽  
The Stability ◽  
Delay Differential

The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability are established.

scholarly journals Uniform Asymptotic Stability of Solutions of Fractional Functional Differential Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yajing Li ◽  
Yejuan Wang
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Stability Of Solutions ◽  
Uniform Asymptotic Stability ◽  
Initial Value ◽  
Functional Differential ◽  
Fractional Functional Differential Equations ◽  
Stability Results ◽  
Fractional Functional

Some global existence and uniform asymptotic stability results for fractional functional differential equations are proved. It is worth mentioning that whenα=1the initial value problemDαyteβt=ft,yteβt,  t∈t0,∞,  t0⩾0,  0<α<1,  yt=ϕt,  t0-h⩽t⩽t0,reduces to a classical dissipative differential equation with delays as in Caraballo et al.'s work (2005).

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