Exponential dichotomies for linear differential equations with delays: Periodic and autonomous equations

1984 ◽  
Vol 138 (1) ◽  
pp. 105-149
Author(s):  
Juan Jorge Schäffer
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Exponential Dichotomies ◽  
Linear Differential

scholarly journals On the Exponents of Exponential Dichotomies

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 651
Author(s):  
Flaviano Battelli ◽  
Michal Fečkan
Keyword(s):  
Differential Equations ◽  
Exponential Dichotomy ◽  
Nonlinear Differential Equations ◽  
Linear Differential Equations ◽  
Constructive Method ◽  
Bifurcation Method ◽  
Exponential Dichotomies ◽  
The Difference ◽  
Linear Differential

An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between the corresponding two dichotomy projections. This roughness result is crucial in developing a Melnikov bifurcation method for either discontinuous or implicit perturbed nonlinear differential equations.

Sign in / Sign up

Export Citation Format

Share Document