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Random nonlinear evolution inclusions in reflexive Banach spaces

Authors: Evgenios P. Avgerinos and Nikolaos S. Papageorgiou
Journal: Proc. Amer. Math. Soc. 104 (1988), 293-299
MSC: Primary 60H25; Secondary 35K99, 35R60, 47H20
MathSciNet review: 958086
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Abstract: In this paper we present two existence results for a large class of random, nonlinear, multivalued evolution equations defined in a reflexive, separable Banach space and involving an $ m$-dissipative operator. Applications to random multivalued parabolic p.d.e.'s are presented. Our work unifies and extends earlier results of Kampé de Feriet, Gopalsamy and Bharucha-Reid, Becus and Itoh.

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Keywords: $ m$-dissipative, integral solution, measurable multifunction, measurable selector, nonlinear semigroup of contractions
Article copyright: © Copyright 1988 American Mathematical Society

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