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Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces

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  • A. G. Ibrahim
  • F. Aladsani

Abstract

We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. Indeed, we have two goals. The first is to give a technique that allows considering sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time. The second is to give a technique to overcome the arising problem from the nonlinearity of the normalized mappings, when we deal with sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time and state.

Suggested Citation

  • A. G. Ibrahim & F. Aladsani, 2016. "Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:3853205
    DOI: 10.1155/2016/3853205
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    1. F. Aladsani & A. G. Ibrahim, 2013. "Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-10, October.
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