Approximation properties of solutions to multipoint boundary-value problems

• Date: 2021
• Main Authors: Murach, A. A., Pelekhata, O. B., Soldatov, V. O., Мурач, А. А., Пелехатая, О. Б., Солдатов, В. О., Мурач, О. О., Пелехата, О. Б.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6505
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.927 We consider a wide class of linear boundary-value problems for systems of $m$ ordinary differential equations of order $r$ known as the general boundary-value problems. Their solutions $y\colon[a,b]\to \mathbb{C}^{m}$ belong to the Sobolev space $(W_1^{r})^m,$ and the boundary conditions...