Convergent and asymptotic expansions of solutions of differential equations with a large parameter: Olver cases II and III

DOI10.1216/JIE-2015-27-1-27zbMath1337.34057OpenAlexW2056129363MaRDI QIDQ2351441

Ester Pérez Sinusía, Chelo Ferreira, José Luis López

Publication date: 23 June 2015

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1424787505

zbMATH Keywords

Green functionsasymptotic expansionsturning pointsBessel functionssecond order differential equationsVolterra integral equations of the second kindAiry functionsregular singular pointsOlver's method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Volterra integral equations (45D05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs ⋮ ASYMPTOTIC AND CONVERGENT EXPANSIONS FOR SOLUTIONS OF THIRD-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH A LARGE PARAMETER ⋮ Convergent and asymptotic methods for second-order difference equations with a large parameter

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