Systems of essentially infinite-dimensional differential equations

• Date: 2011
• Main Authors: Statkevych, V. M., Статкевич, В. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2802
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate systems of differential equations with essentially infinite-dimensional elliptic operators (of the Laplace - Levy type). For nonlinear systems, we prove theorems on the existence and uniqueness of solutions. For a linear system, we give an explicit formula for the solution.