Artículos de revistas
Lipschitz stability of generalized ordinary differential equations and impulsive retarded differential equations
Fecha
2019-01-01Registro en:
Electronic Journal of Qualitative Theory of Differential Equations, v. 2019.
1417-3875
10.14232/ejqtde.2019.1.18
2-s2.0-85064197610
Autor
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
Institución
Resumen
We consider a class of retarded functional differential equations with preas-signed moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov functionals. We introduce the concept of variational Lipschitz stability and Lipschitz 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 variationally Lipschitz stable. Thereby, we apply the results to get the corresponding ones for impulsive functional differential equations.