Noncompact perturbation of nonconvex noncompact sweeping process with delay

Mohammed S. Abdo; Ahmed G. Ibrahim; Satish K. Panchal

Commentationes Mathematicae Universitatis Carolinae (2020)

  • Volume: 61, Issue: 2, page 165-186
  • ISSN: 0010-2628

Abstract

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We prove an existence theorem of solutions for a nonconvex sweeping process with nonconvex noncompact perturbation in Hilbert space. We do not assume that the values of the orient field are compact.

How to cite

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Abdo, Mohammed S., Ibrahim, Ahmed G., and Panchal, Satish K.. "Noncompact perturbation of nonconvex noncompact sweeping process with delay." Commentationes Mathematicae Universitatis Carolinae 61.2 (2020): 165-186. <http://eudml.org/doc/297256>.

@article{Abdo2020,
abstract = {We prove an existence theorem of solutions for a nonconvex sweeping process with nonconvex noncompact perturbation in Hilbert space. We do not assume that the values of the orient field are compact.},
author = {Abdo, Mohammed S., Ibrahim, Ahmed G., Panchal, Satish K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonconvex sweeping process; functional differential inclusion; uniformly $\varrho $-prox-regular set},
language = {eng},
number = {2},
pages = {165-186},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Noncompact perturbation of nonconvex noncompact sweeping process with delay},
url = {http://eudml.org/doc/297256},
volume = {61},
year = {2020},
}

TY - JOUR
AU - Abdo, Mohammed S.
AU - Ibrahim, Ahmed G.
AU - Panchal, Satish K.
TI - Noncompact perturbation of nonconvex noncompact sweeping process with delay
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 2
SP - 165
EP - 186
AB - We prove an existence theorem of solutions for a nonconvex sweeping process with nonconvex noncompact perturbation in Hilbert space. We do not assume that the values of the orient field are compact.
LA - eng
KW - nonconvex sweeping process; functional differential inclusion; uniformly $\varrho $-prox-regular set
UR - http://eudml.org/doc/297256
ER -

References

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