Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 01, pp. 1-11.
Title: Continuous selections of solution sets to
Volterra integral inclusions in Banach spaces
Authors: Sergiu Aizicovici (Ohio Univ., Athens, OH, USA)
Vasile Staicu (Aveiro Univ., Portugal)
Abstract:
We consider a nonlinear Volterra integral equation governed by
an m-accretive operator and a multivalued perturbation
in a separable Banach. The existence of a continuous selection
for the corresponding solution map is proved. The case when
the m-accretive operator in the integral inclusion depends on
time is also discussed.
Submitted July 26, 2005. Published January 6, 2006.
Math Subject Classifications: 34G25, 45D05, 45N05, 47H06.
Key Words: Volterra integral equation; m-accretive operator;
integral solution; multivalued map.