Sergiu Aizicovici, Vasile Staicu
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.
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| Sergiu Aizicovici |
Department of Mathematics, Ohio University
Athens, OH 45701, USA
| Vasile Staicu |
Department of Mathematics, Aveiro University
3810-193 Aveiro, Portugal
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