Abstract inclusions in Banach spaces with boundary conditions of periodic type

Lahcene Guedda ; Ahmed Hallouz

Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014), p. 229-253 / Harvested from The Polish Digital Mathematics Library

Résumé

We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form ⎧ $x ∈ S(x(0), sel_{F}(x))$ ⎨ ⎩ x (T) = x(0), where, $F:[0,T] × → 2^E $ is a multivalued map with convex compact values, ⊂ E, $sel_{F}$ is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive operators generating not necessarily a compact semigroups.

Détail

Publié le : 2014-01-01

Zbl 1326.47075

EUDML-ID : urn:eudml:doc:270538

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