Exponentially converging method for a differential equation of the first order in the Banach space with an unlimited operator in a non-local condition

• Datum: 2015
• Автори та афіліації: В. Б. Василик — Iнститут математики НАН України; В. Л. Макаров — Iнститут математики НАН України; Д. О. Ситник
• Ключові слова: keywords
• Hauptverfasser: Василик, В. Б., Макаров, В. Л., Ситник, Д. О.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут математики НАН України 2015
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/19
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

Problem for the first order differential equation with an unbounded op-erator coefficient in Banach space and two-pointed nonlocal condition isconsidered. It is assumed that the nonlocal condition possesses an un-bounded operator coefficient. An exponentially convergent algorithm isproposed and just...