Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type

TL;DR

This paper proves the existence of solutions for a class of nonconvex differential inclusions with monotone-type conditions, expanding the understanding of such systems in mathematical analysis.

Contribution

It establishes existence results for differential inclusions with nonconvex, upper semi-continuous right-hand sides under weakened monotonicity assumptions.

Findings

Existence of solutions is guaranteed under certain conditions.

The results apply to nonconvex, upper semi-continuous differential inclusions.

The work broadens the class of systems where solutions can be assured.

Abstract

Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.