Criteria for the Well-Posedness of the Cauchy Problem for Differential Operator Equations of Arbitrary Order

• Дата: 2004
• Автори: Vlasenko, L. A., Piven’, A. L., Rutkas, A. G., Власенко, Л. А., Пивень, А. Л., Руткас, А. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2004
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3860
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In Banach spaces, we investigate the differential equation \(\mathop \sum \nolimits_{j = 0}^n \;A_j u^{(j)} (t) = 0\) with closed linear operators A j (generally speaking, the operator coefficient A n of the higher derivative is degenerate). We obtain well-posedness conditions that character...