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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

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 and Continuous Dynamical Systems, 1996, 2 (1) : 53-63. doi: 10.3934/dcds.1996.2.53
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