On first order impulsive semilinear functional differential inclusions

Mouffak Benchohra; Johnny Henderson; Sotiris K. Ntouyas

Archivum Mathematicum (2003)

  • Volume: 039, Issue: 2, page 129-139
  • ISSN: 0044-8753

Abstract

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In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.

How to cite

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Benchohra, Mouffak, Henderson, Johnny, and Ntouyas, Sotiris K.. "On first order impulsive semilinear functional differential inclusions." Archivum Mathematicum 039.2 (2003): 129-139. <http://eudml.org/doc/249125>.

@article{Benchohra2003,
abstract = {In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.},
author = {Benchohra, Mouffak, Henderson, Johnny, Ntouyas, Sotiris K.},
journal = {Archivum Mathematicum},
keywords = {initial value problem; impulsive functional differential inclusions; convex multivalued map; fixed point; mild solution; initial value problem; convex multivalued map},
language = {eng},
number = {2},
pages = {129-139},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On first order impulsive semilinear functional differential inclusions},
url = {http://eudml.org/doc/249125},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Benchohra, Mouffak
AU - Henderson, Johnny
AU - Ntouyas, Sotiris K.
TI - On first order impulsive semilinear functional differential inclusions
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 2
SP - 129
EP - 139
AB - In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.
LA - eng
KW - initial value problem; impulsive functional differential inclusions; convex multivalued map; fixed point; mild solution; initial value problem; convex multivalued map
UR - http://eudml.org/doc/249125
ER -

References

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  12. Monotone iterative techniques for time-dependent problems with applications, J. Math. Anal. Appl. 237 (1999), 1–18. MR1708157
  13. A cell population model described by impulsive PDEs-Existence and numerical approximation, Comput. Math. Appl. 36 (8) (1998), 1–11. MR1653819
  14. A Rothe’s type theorem for non compact acyclic-valued maps, Boll. Un. Mat. Ital. 11 (Suppl. Fasc.) (1975), 70–76. Zbl0314.47035MR0394752
  15. Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983. Zbl0516.47023MR0710486
  16. Impulsive Differential Equations, World Scientific, Singapore, 1995. MR1355787
  17. Functional Analysis, edn. Springer-Verlag, Berlin, 1980. Zbl0830.46001MR0617913

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