An existence result for first order initial value problems for impulsive differential inclusions in Banach spaces

Mouffak Benchohra; Abdelkader Boucherif

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 3, page 159-169
  • ISSN: 0044-8753

Abstract

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In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.

How to cite

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Benchohra, Mouffak, and Boucherif, Abdelkader. "An existence result for first order initial value problems for impulsive differential inclusions in Banach spaces." Archivum Mathematicum 036.3 (2000): 159-169. <http://eudml.org/doc/248558>.

@article{Benchohra2000,
abstract = {In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.},
author = {Benchohra, Mouffak, Boucherif, Abdelkader},
journal = {Archivum Mathematicum},
keywords = {impulsive initial value problem; multivalued map; a priori bounds; existence; fixed point; impulsive initial value problem; multivalued map; a priori bounds; existence; fixed point},
language = {eng},
number = {3},
pages = {159-169},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An existence result for first order initial value problems for impulsive differential inclusions in Banach spaces},
url = {http://eudml.org/doc/248558},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Boucherif, Abdelkader
TI - An existence result for first order initial value problems for impulsive differential inclusions in Banach spaces
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 3
SP - 159
EP - 169
AB - In this paper, a nonlinear alternative for multivalued maps is used to investigate the existence of solutions of first order impulsive initial value problem for differential inclusions in Banach spaces.
LA - eng
KW - impulsive initial value problem; multivalued map; a priori bounds; existence; fixed point; impulsive initial value problem; multivalued map; a priori bounds; existence; fixed point
UR - http://eudml.org/doc/248558
ER -

References

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