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Existence of solutions for integral inclusions of Urysohn type with nonconvex-valued orientor field

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Abstract

In this paper, we prove the existence of solutions for an integral inclusion of Urysohn type with nonconvex orientor field and with delay. We make standard boundedness and continuity assumptions on the data, and we assume that the orientor field is l.s.c. in the state variable. Using a selection theorem of Fryszkowski, we are able to prove the existence of solutions, extending an earlier result of Angell.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Davis, California

    N. S. Papageorgiou (Assistant Professor)

Authors
  1. N. S. Papageorgiou
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Communicated by L. Cesari

This research was supported by NSF Grant No. DMS-86-02313.

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Papageorgiou, N.S. Existence of solutions for integral inclusions of Urysohn type with nonconvex-valued orientor field. J Optim Theory Appl 64, 207–215 (1990). https://doi.org/10.1007/BF00940032

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  • DOI: https://doi.org/10.1007/BF00940032

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