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

• Date: 2015
• Author Affiliations: В. Б. Василик — Iнститут математики НАН України; В. Л. Макаров — Iнститут математики НАН України; Д. О. Ситник
• Keywords: keywords
• Main Authors: Василик, В. Б., Макаров, В. Л., Ситник, Д. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/19
• Journal Title: 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...