Geodesic
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces
Electronic journal of differential equations, Tome 2006 (2006)
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 
@article{EJDE_2006__2006__a196,
     author = {Aizicovici,  Sergiu and Staicu,  Vasile},
     title = {Continuous selections of solution sets to {Volterra} integral inclusions in {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1096.34040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a196/}
}
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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/