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.