A continuous vector-valued function is a solution of an initial-value problem for a semilinear differential-functional system if it satisfies integral equations arising from the differential-functional system by integrating along integral curves. In the paper we prove theorems on the local existence and continuous dependence of extremal solutions of initial-value problems. Differential-functional inequalities in the wider sense are considered.
Extremal solutions for semilinear differential-functional systems in two independent variables
CEPPITELLI, Rita;
1994
Abstract
A continuous vector-valued function is a solution of an initial-value problem for a semilinear differential-functional system if it satisfies integral equations arising from the differential-functional system by integrating along integral curves. In the paper we prove theorems on the local existence and continuous dependence of extremal solutions of initial-value problems. Differential-functional inequalities in the wider sense are considered.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.
