Geodesic
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34G25, 45D05, 45N05, 47H06
Keywords: Volterra integral equation, m-accretive operator, integral solution, multivalued map 
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     author = {Aizicovici, Sergiu and Staicu, Vasile},
     title = {Continuous selections of solution sets to {Volterra} integral inclusions in {Banach} spaces},
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Aizicovici, Sergiu; Staicu, Vasile. Continuous selections of solution sets to Volterra integral inclusions in Banach spaces. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a196/