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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958086-6
PII: S 0002-9939(1988)0958086-6
Keywords: $ m$-dissipative, integral solution, measurable multifunction, measurable selector, nonlinear semigroup of contractions
Article copyright: © Copyright 1988 American Mathematical Society