Existence of a solution and averaging of nonlinear multifrequency problems with delay

• Datum: 2007
• Hauptverfasser: Bigun, Ya. I., Бігун, Я. Й.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3318
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The method of averaging over the fast variables is applied to the investigation of multifrequency systems with linearly transformed argument. We prove the existence of solutions of the initial-and boundary-value problems in a small neighborhood of the solution of the averaged problem and estimate th...