Existence of global solutions to differential inclusions; a priori bounds

Ovidiu Cârjă; Alina Ilinca Lazu

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Displaying similar documents to “Existence of global solutions to differential inclusions; a priori bounds”

A generalization of the Schauder fixed point theorem via multivalued contractions

Paolo Cubiotti, Beatrice Di Bella (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We establish a fixed point theorem for a continuous function $f : X \to E$ , where $E$ is a Banach space and $X \subseteq E$ . Our result, which involves multivalued contractions, contains the classical Schauder fixed point theorem as a special case. An application is presented.

Implicit integral equations with discontinuous right-hand side

Filippo Cammaroto, Paolo Cubiotti (1997)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We consider the integral equation $h (u (t)) = f (\int_{I} g (t, x) u (x) d x)$ , with $t \in [0, 1]$ , and prove an existence theorem for bounded solutions where $f$ is not assumed to be continuous.