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arXiv · 2511.06100

Differential inclusions and quasi-Lyapunov functions

Martin Ivanov·Mikhail Krastanov·Nadezhda Ribarska
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Abstract

A sufficient condition for existence of a solution of a differential inclusion with a uniformly bounded right-hand side that has nonempty closed (possibly nonconvex) values is obtained. An Olech-type result is obtained as a corollary. An example, which originates from the Fuller problem from optimal control theory, is given to demonstrate the applicability of the main result.

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Martin Ivanov, Mikhail Krastanov, Nadezhda Ribarska. 2025-11-08. Differential inclusions and quasi-Lyapunov functions. https://arxiv.org/abs/2511.06100

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