Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces

Abada Nadjat; Benchohra Mouffak; Hammouche Hadda; Ouahab Abdelghani

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2007)

  • Volume: 27, Issue: 2, page 329-347
  • ISSN: 1509-9407

Abstract

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In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.

How to cite

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Abada Nadjat, et al. "Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 27.2 (2007): 329-347. <http://eudml.org/doc/271146>.

@article{AbadaNadjat2007,
abstract = {In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.},
author = {Abada Nadjat, Benchohra Mouffak, Hammouche Hadda, Ouahab Abdelghani},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {semilinear functional differential inclusions; impulses; mild solution; fixed point; controllability; extrapolation space; nondensely defined operator; differential equations; differential inclusions},
language = {eng},
number = {2},
pages = {329-347},
title = {Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces},
url = {http://eudml.org/doc/271146},
volume = {27},
year = {2007},
}

TY - JOUR
AU - Abada Nadjat
AU - Benchohra Mouffak
AU - Hammouche Hadda
AU - Ouahab Abdelghani
TI - Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2007
VL - 27
IS - 2
SP - 329
EP - 347
AB - In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
LA - eng
KW - semilinear functional differential inclusions; impulses; mild solution; fixed point; controllability; extrapolation space; nondensely defined operator; differential equations; differential inclusions
UR - http://eudml.org/doc/271146
ER -

References

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