scholarly journals Liapunov's direct method applied to neutral functional differential equations

1975 ◽  
Vol 49 (1) ◽  
pp. 47-58 ◽  
Author(s):  
William R Melvin
Keyword(s):  
Differential Equations ◽  
Direct Method ◽  
Functional Differential Equations ◽  
Neutral Functional Differential Equations ◽  
Functional Differential ◽  
Liapunov's Direct Method

Asymptotic stability criteria for delay-differential equations

1988 ◽  
Vol 110 (1-2) ◽  
pp. 31-44
Author(s):  
L.C. Becker ◽  
T.A. Burton
Keyword(s):  
Differential Equations ◽  
Direct Method ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
State Variables ◽  
Stability Criteria ◽  
Bounded State ◽  
Functional Differential ◽  
Delay Differential ◽  
Liapunov's Direct Method

SynopsisThis paper is concerned with the problem of showing uniform stability and equiasymptotic stability of thezero solution of functional differential equations with either finite or infinite delay. The investigations are based on Liapunov's direct method and attention is focused on those equations whose right-hand sides are unbounded for bounded state variables.

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