Generalized solutions of mixed problems for first-order partial functional differential equations

• Datum: 2006
• Hauptverfasser: Czernous, W., Черноус, В.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3497
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

A theorem on the existence of solutions and their continuous dependence upon initial boundary conditions is proved. The method of bicharacteristics is used to transform the mixed problem into a system of integral functional equations of the Volterra type. The existence of solutions of this system is...