Adomian’s decomposition method in the theory of nonlinear autonomous boundary-value problems

• Date: 2023
• Main Authors: Boichuk, O., Chuiko, S., Diachenko, D., Бойчук, Олександр, Чуйко, Сергій, Д'яченко, Дар'я, Чуйко, Сергій Михайлович
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7624
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 For a nonlinear autonomous boundary-value problem for ordinary differential equation in the critical case, we establish constructive conditions for the solvability and propose a scheme for the construction of solutions based on the use of Adomian's decomposition method.