{"ID":2844698,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.06100","arxiv_id":"2511.06100","title":"Differential inclusions and quasi-Lyapunov functions","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.","short_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...","url_abs":"https://arxiv.org/abs/2511.06100","url_pdf":"https://arxiv.org/pdf/2511.06100v1","authors":"[\"Martin Ivanov\",\"Mikhail Krastanov\",\"Nadezhda Ribarska\"]","published":"2025-11-08T18:36:57Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}