On analytic solutions of operator differential equations

• Date: 2000
• Main Authors: Gorbachuk, M. L., Горбачук, М. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4454
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We find conditions on a closed operator A in a Banach space that are necessary and sufficient for the existence of solutions of a differential equation y′(t) = Ay(t), t ∈[0,∞),in the classes of entire vector functions with given order of growth and type. We present criteria for the denseness of clas...