# 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 (1999)

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

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topMouffak 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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