Some approaches to the construction of approximate solutions of the generalized Goursat problem for systems of certain quasilinear partial differential equations with deviating argument

• Дата: 1995
• Автори: Marynetz, V. V., Маринець, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5560
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We construct and investigate monotone and alternating rapidly convergent two-sided methods for the approximate integration of the generalized Goursat problem, prove the existence and uniqueness of its regular solution, establish theorems on differential inequality and comparison, and obtain sufficie...