Investigation of One Linear Differential Equation by Using Generalized Functions with Values in a Banach Space

• Date: 2001
• Main Authors: Chaikovs'kyi, A. V., Чайковський, А. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4290
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present a generalization of some facts of the theory of generalized functions of slow growth to the case of operator-valued test functions. We propose a construction of regular generalized functions with values in a Banach space. The results obtained are used for the description of slowly increas...