Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces

Mouffak Benchohra

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (1999)

  • Volume: 19, Issue: 1-2, page 111-121
  • ISSN: 1509-9407

Abstract

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In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.

How to cite

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Mouffak Benchohra. "Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 19.1-2 (1999): 111-121. <http://eudml.org/doc/275988>.

@article{MouffakBenchohra1999,
abstract = {In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.},
author = {Mouffak Benchohra},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {initial value problems; convex multivalued map; mild solution; evolution inclusion; existence; fixed point; abstract space; mild solutions},
language = {eng},
number = {1-2},
pages = {111-121},
title = {Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces},
url = {http://eudml.org/doc/275988},
volume = {19},
year = {1999},
}

TY - JOUR
AU - Mouffak Benchohra
TI - Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 1999
VL - 19
IS - 1-2
SP - 111
EP - 121
AB - In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
LA - eng
KW - initial value problems; convex multivalued map; mild solution; evolution inclusion; existence; fixed point; abstract space; mild solutions
UR - http://eudml.org/doc/275988
ER -

References

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