Artículos de revistas
On exponential stability of functional differential equations with variable impulse perturbations
Fecha
2014Registro en:
Differential and Integral Equations, Athens, v.27, n.7-8, p.721-742, 2014
0893-4983
Autor
Afonso, S. M.
Bonotto, Everaldo de Mello
Federson, Márcia Cristina Anderson Braz
Institución
Resumen
We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals. We introduce the concept of variational exponential stability for generalized ordinary differential equations and we develop the theory in this direction by establishing conditions for the trivial solutions of generalized ordinary differential equations to be exponentially stable. Then, we apply the results to get corresponding ones for impulsive functional differential equations. We also present an example of a delay differential equation with Perron integrable right-hand side where we apply our result.