Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient

• Дата: 2011
• Автори: Il'chenko, Yu. V., Chaikovs'kyi, A. V., Ільченко, Ю. В., Чайковський, А. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2784
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The concept of strongly positive operator is generalized, and properties of the operators introduced are analyzed. The solutions of the Cauchy problem for a linear inhomogeneous differential equation with generalized strongly positive operator coefficient are found.