American Institute of Mathematical Sciences

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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