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

Time dependent Volterra integral inclusions in Banach spaces

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.
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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