On the asymptotic expansion of solutions of certain second order linear differential equations

DOI10.1016/0022-0396(81)90085-1zbMath0446.34057OpenAlexW2024157760MaRDI QIDQ1145811

Annapurna Sircar, W. Norrie Everitt

Publication date: 1981

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90085-1

zbMATH Keywords

second order linear differential equationsasymptotic forms of solutionsLiouville transformations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Discrete and continuous boundary problems
• Asymptotic integrations of the adiabatic oscillator in its hyperbolic range
• The asymptotic solution of second-order differential equations
• ON THE INTEGRATION OF CERTAIN SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS
• Some Properties of the Domains of Certain Differential Operators
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Unrestricted Solution Fields of Almost Separable Differential Equations
• Asymptotic Integrations of the Adiabatic Oscillator
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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