On an extension theorem and its application for turning point problems of large order

DOI10.2996/KMJ/1138846872zbMath0275.34060OpenAlexW2018261862MaRDI QIDQ5183932

Toshihiko Nishimoto

Publication date: 1973

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138846872

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Linear system of differential equations with multiple turning point ⋮ Confluent W-K-B approximation. I ⋮ Asymptotic behavior of the ${\bf W}-{\bf K}-{\bf B}$ approximations near a Stokes curve

Cites Work

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• A Turning Point Problem for a System of Two Linear Differential Equations
• On an extension theorem for turning point problem
• Error analysis of phase-integral methods. I. General theory for simple turning points
• On matching methods in turning point problems
• On the central connection problem at a turning point
• On a secondary turning point problem
• Simple Turning-Point Problems in Unbounded Domains
• Reduction of the order of a linear ordinary differential equation containing a small parameter

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