In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type $x'(t) \in F(t,x(t)) + G(t,x(t))$. Our existence theorems improve a result due to Hristova-Bainov, since for us the single valued map f is not necessarily continuous on [0; T] but only continuous with respect to the second variable. Moreover, we do not require a Lipschitz condition on f.
On the existence of solutions for non linear impulsive periodic viable problems
CARDINALI, Tiziana;
2004
Abstract
In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type $x'(t) \in F(t,x(t)) + G(t,x(t))$. Our existence theorems improve a result due to Hristova-Bainov, since for us the single valued map f is not necessarily continuous on [0; T] but only continuous with respect to the second variable. Moreover, we do not require a Lipschitz condition on f.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
