A. M. Samoilenko's numerical-analytic method without determining equation

• Date: 1995
• Main Authors: Kovalenko, O. V., Trofimchuk, E. P., Коваленко, О. В., Трофимчук, Е. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5396
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We suggest a modification of A. M. Samoilenko's numerical-analytic method for investigating the problem $dx/dt=f(t,x), \mathfrak{L}(x) = d$ (here $\mathfrak{L}(x): C([0, T], R^n) \rightarrow R^n$ is a linear continuous operator} in which it is not necessary to solve an additional determini...