Asymptotic stability of solutions of an almost periodic system of functional-differential equations

1964 ◽  
Vol 13 (2) ◽  
pp. 209-221 ◽  
Author(s):  
Taro Yoshizawa
Keyword(s):  
Asymptotic Stability ◽  
Differential Equations ◽  
Periodic System ◽  
Functional Differential Equations ◽  
Stability Of Solutions ◽  
Almost Periodic ◽  
Functional Differential

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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