Geodesic
Deterministic and Random Volterra Integral Inclusions
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 119
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We establish the existence of solutions for a nonlinear Volterra integral inclusion, involving a nonconvex valued orientor field and defined in a separable Banach space. Next we consider a random version of it and prove the existence of random solutions. Finally we examine a perturbed version of the original inclusion, with the pertubation being multivalued. Our results extend earlier ones by Chuong, Ragimkhanov, Lyapin, Milton-Tsokos, Papageorgiou amd Tsokos.
Classification : 45G05 60H20
Keywords: Lower semicontinuous and upper semicontinuous multifunctions, Aumann's selection theorem, measure of noncompactness, integrable selectors, Arzela-Ascoli theorem 
@article{PIM_1989_N_S_46_60_a17,
     author = {Nikolaos S. Papageorgiou},
     title = {Deterministic and {Random} {Volterra} {Integral} {Inclusions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {119 },
     year = {1989},
     volume = {_N_S_46},
     number = {60},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a17/}
}
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Nikolaos S. Papageorgiou. Deterministic and Random Volterra Integral Inclusions. Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 119 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a17/