Time dependent Volterra integral inclusions in Banach spaces

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January 1996, 2(1): 53-63. doi: 10.3934/dcds.1996.2.53

Time dependent Volterra integral inclusions in Banach spaces

Sergiu Aizicovici ^1, , Yimin Ding ^1, and N. S. Papageorgiou ^2,

1.	Department of Mathematics, Ohio University, Athens, Ohio 45701, United States, United States
2.	Department of Mathematics, National Tech. University, Athens 15773, Greece

Received April 1995 Published October 1995

Abstract
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A nonlinear Volterra inclusion associated to a family of time-dependent $m$-accretive operators, perturbed by a multifunction, is considered in a Banach space. Existence results are established for both nonconvex and convex valued perturbations. The class of extremal solutions is also investigated.

Keywords: Volterra integral inclusion, compact evolution operator, $m$-accretive operator, mild (integral) solution..

Mathematics Subject Classification: 47Gx.

Citation: Sergiu Aizicovici, Yimin Ding, N. S. Papageorgiou. Time dependent Volterra integral inclusions in Banach spaces. Discrete & Continuous Dynamical Systems - A, 1996, 2 (1) : 53-63. doi: 10.3934/dcds.1996.2.53

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