Nonlinear boundary-value problems for systems of ordinary differential equations

• Date: 1998
• Main Authors: Boichuk, О. A., Бойчук, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4951
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider nonlinear boundary-value problems (with Noetherian operator in the linear part) for systems of ordinary differential equations in the neighborhood of generating solutions. By using the Lyapunov — Schmidt method, we establish conditions for the existence of solutions of these boundary-val...