Exact formulas for the general solution to the equation \(\varepsilon^ 3\frac{d^ 4y}{ds^ 4} - \frac{d}{ds} (s\frac{dy}{ds}) - \omega^ 2y = 0\)

Publication date: 20 August 1997

Published in: Doklady Mathematics (Search for Journal in Brave)

singular perturbation boundary value problem linear differential equation contour integrals Bessel and Airy functions contracted-stretched ponderable rods

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear boundary value problems for ordinary differential equations (34B05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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