# 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

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topMouffak 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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