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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal