Exponentially Convergent Method for the First-Order Differential Equation in a Banach Space with Integral Nonlocal Condition

• Date: 2014
• Main Authors: Vasylyk, V. B., Makarov, V. L., Василик, В. Б., Макаров, В. Л.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2197
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the first-order differential equation with unbounded operator coefficient in a Banach space, we study the nonlocal problem with integral condition. An exponentially convergent algorithm for the numerical solution of this problem is proposed and justified under the assumption that the operator co...