Construction of asymptotic solutions of linear singularly disturbed second-order system with degenerations

• Date: 1992
• Main Authors: Yakovets , V. P., Яковец , В. П.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8040
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The paper discusses the asymptotic behavior of the general solution of a linear singularly perturbed system $\varepsilon ^{2h} A(t,\varepsilon )\frac{{d^2 x}}{{dt^2 }} + \varepsilon ^h B(t,\varepsilon )\frac{{dx}}{{dt^2 }} + C(t,\varepsilon )x = 0,$  where x∈Rn, t∈[t0; T], h∈N, ε∈ (0, ε...