Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

Mouffak Benchohra; Lech Górniewicz; Sotiris K. Ntouyas

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2001)

  • Volume: 21, Issue: 2, page 261-282
  • ISSN: 1509-9407

Abstract

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In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.

How to cite

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Mouffak Benchohra, Lech Górniewicz, and Sotiris K. Ntouyas. "Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 21.2 (2001): 261-282. <http://eudml.org/doc/271528>.

@article{MouffakBenchohra2001,
abstract = {In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.},
author = {Mouffak Benchohra, Lech Górniewicz, Sotiris K. Ntouyas},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {controllability; mild solution; evolution; fixed point; functional differential inclusions; fixed point theorem},
language = {eng},
number = {2},
pages = {261-282},
title = {Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces},
url = {http://eudml.org/doc/271528},
volume = {21},
year = {2001},
}

TY - JOUR
AU - Mouffak Benchohra
AU - Lech Górniewicz
AU - Sotiris K. Ntouyas
TI - Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2001
VL - 21
IS - 2
SP - 261
EP - 282
AB - In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
LA - eng
KW - controllability; mild solution; evolution; fixed point; functional differential inclusions; fixed point theorem
UR - http://eudml.org/doc/271528
ER -

References

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