Systems of essentially infinite-dimensional differential equations

• Datum: 2011
• Hauptverfasser: Statkevych, V. M., Статкевич, В. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2802
• Назва журналу: 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.