Asymptotics of the general solution to a linear singularly perturbed system of second-order differential equations with degeneracy

• Date: 1993
• Main Authors: Yakovets, V. P., Яковец, В. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5843
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using the perturbation methods and Newton diagrams, we study the structure and construct the asymptotics of the general solution to a linear singularly perturbed system of ordinary second-order differential equations in the case where the matrix by the higher derivative is degenerate.