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

• Date: 2004
• Main Authors: Vlasenko, L. A., Piven’, A. L., Rutkas, A. G., Власенко, Л. А., Пивень, А. Л., Руткас, А. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3860
• Journal Title: 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...