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Existence of mild solutions on semi-infinite interval to second order differential equations with nonlocal conditions

100%

Benchohra M. , Ntouyas S. K.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2001

tom [Z] 41

41-49

In this paper we investigate the existence of mild solutions, on a semi infinite interval, to the second order differential equations in Banach spaces with nonlocal conditions. We shall rely on the theorem of Schauder-Tychonoff.

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

86%

Benchohra M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1999

tom 19

nr 1-2

111-121

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.