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On the asymptotic integration of a linear system of differential equations with a small parameter in the coefficients of some derivatives

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Publication:386569
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DOI10.1007/s11072-009-0073-5zbMath1277.34082OpenAlexW2042692155MaRDI QIDQ386569

A. M. Samoilenko, I. H. Klyuchnyk

Publication date: 9 December 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-009-0073-5



Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)


Related Items

On the asymptotic integration of a singularly perturbed system of linear differential equations with deviating argument ⋮ A linear system of differential equations with small parameter at a part of derivatives, a deviation of the argument, and a turning point ⋮ Third order differential equation with turning point



Cites Work

  • Linear turning point theory
  • The solutions of the differential equation \(v+\lambda^2zv'+3\mu\lambda^2v= 0\)
  • The Asymptotic Solutions of a Linear Differential Equation of the Second Order with Two Turning Points
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