An abstract Cauchy problem for higher order functional differential inclusions with infinite delay

Tran Dinh Ke ; Valeri Obukhovskii ; Ngai-Ching Wong ; Jen-Chih Yao

Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 31 (2011), p. 199-229 / Harvested from The Polish Digital Mathematics Library

Résumé

The existence results for an abstract Cauchy problem involving a higher order differential inclusion with infinite delay in a Banach space are obtained. We use the concept of the existence family to express the mild solutions and impose the suitable conditions on the nonlinearity via the measure of noncompactness in order to apply the theory of condensing multimaps for the demonstration of our results. An application to some classes of partial differential equations is given.

Détail

Publié le : 2011-01-01

Zbl 1259.34051

EUDML-ID : urn:eudml:doc:271167

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