Application of the Green–Samoilenko function and operator to the study of non-Lipschitz differential equations

• Datum: 2021
• Hauptverfasser: Perestyuk , M. O., Slyusarchuk, V. Yu., Перестюк , М. О., Слюсарчук, В. Ю., Slyusarchuk, V.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6482
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925.53 For systems of non-Lipschitz differential equations, we establish conditions for the existence of invariant sets. To obtain this result, we use the Green – Samoilenko function and the corresponding operator.