Asymptotics of solutions of a standard equation for problems with a turning point

DOI10.1007/BF00968895zbMath0581.34044OpenAlexW2077611101MaRDI QIDQ1068271

M. A. Kovalevskij

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00968895

zbMATH Keywords

polynomial coefficientsturning point

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)

Cites Work

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• A two point connection problem
• A global representation of a fundamental set of solutions and a Stokes phenomenon for a system of linear ordinary differential equations
• Die Konstruktion eines asymptotischen Fundamentalsystems für eine lineare Differentialgleichung vom hydrodynamischen Typ
• A turning point problem of an $n$-th order differential equation of hydrodynamic type
• Asymptotic Expansions of Integral Transforms with Oscillatory Kernels: A Generalization of the Method of Stationary Phase

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