A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria

2001 ◽  
Vol 52 (3) ◽  
pp. 421-432 ◽  
Author(s):  
G. Farkas
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Retarded Functional Differential Equations ◽  
Functional Differential

On the existence of periodic solutions for autonomous retarded functional differential equations on R2

1986 ◽  
Vol 102 (3-4) ◽  
pp. 259-262 ◽  
Author(s):  
J. G. Dos Reis ◽  
R. L. S. Baroni
Keyword(s):  
Differential Equation ◽  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Continuous Functions ◽  
Retarded Functional Differential Equations ◽  
Existence Of Periodic Solutions ◽  
Functional Differential

SynopsisLet Ca be the set of all the continuous functions from the interval [−r, 0] on the sphere of radius a, on the plane. We prove, under certains conditions, that a retarded autonomous differential equation that leaves Ca invariant has a non-constant periodic solution.

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