Method of two-scale decomposition of the solution of integro-differential equation with perturbation

• Date: 1991
• Main Authors: Faizibaev , E. F., Kadyrbekov , T., Файзибаев , Э. Ф., Кадырбеков , Т.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1991
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9318
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The solution of an integrodifferential equation with a small parameter is constructed by means of the two-variable expansion procedure. The obtained solutions of the van der Pol equation by the two-variable expansion method and the averaging method are compared. The obtained solutions coincide entir...