Asymptotic solutions of second-order linear equations with three transition points

DOI10.1063/1.1666582zbMath0301.34071OpenAlexW2088766598MaRDI QIDQ4056413

Ali Hasan Nayfeh

Publication date: 1974

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1666582

Mathematics Subject Classification ID

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

Related Items

Asymptotic behavior of the spectrum of differential equations

Cites Work

• Subdominant solutions of the differential equation \(y-\lambda^ 2 (x- a_ 1) (x-a_ 2) \ldots (x-a_ m)y = 0\)
• On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients
• ON THE RELATED-EQUATION METHOD OF ASYMPTOTIC APPROXIMATION (W. K. B. or A-A METHOD)
• Asymptotic Solutions of an Eigenvalue Problem with Two Turning Points—Heat Transfer in a Tube
• Uniform asymptotic solutions of second order linear ordinary differential equations with turning points
• A Second-Order JWKB Approximation with One Turning Point and Two Singular Points: Stability of an Accelerating Liquid Sphere
• On the breakup of accelerating liquid drops