Exponentially convergent method for an abstract nonlocal problem with integral nonlinearity

• Datum: 2016
• Hauptverfasser: Vasylyk, V. B., Makarov, V. L., Василик, В. Б., Макаров, В. Л.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1945
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a problem for the first-order differential equation with unbounded operator coefficient in Banach space and a nonlinear integral nonlocal condition. An exponentially convergent method for the numerical solution of this problem is proposed and justified under assumption that the indicated...