Characterization of the rate of convergence of one approximate method for the solution of an abstract Cauchy problem

• Datum: 2008
• Hauptverfasser: Kashpirovskii, A. I., Torba, S. M., Кашпіровський, О. І., Торба, С. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3175
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider an approximate method for the solution of the Cauchy problem for an operator differential equation. This method is based on the expansion of an exponential in orthogonal Laguerre polynomials. We prove that the fact that an initial value belongs to a certain space of smooth elements of th...