Abstract
In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite dimensional separable Banach space.
Highlights
In the recent years there }as been an increase in interest in the investigation of systems described by differential inclusions
In a differential inclusion the tangent is prescribed by a mu]tfunction which is usually called a: orientor field. .’Lany problems of appl mathentics lead us to the study of d3q_nmical systems having velocities not miquc]y determined by the state of the system, but depending only loosely upon it
The initial impetus to study diffe.rential inclusions came from control theory
Summary
KEY WORDS AND PI{RASFS: Orientor field, multfunct.on, measure of noncompactncss, measurable n,ultifunction, lower scmicontnuous multiunction, Hausdorff metric, Kamke funct ion
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