Olver's asymptotic method revisited; case I

DOI10.1016/J.JMAA.2012.05.007zbMath1255.34057OpenAlexW2030815372MaRDI QIDQ448256

José Luis López

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.007

zbMATH Keywords

Green's functionsecond-order differential equationsfixed point theoremsasymptotic expansions

Mathematics Subject Classification ID

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) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

On a modification of Olver's method: a special case ⋮ Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter ⋮ 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 ⋮ Convergent and asymptotic expansions of the Pearcey integral

Uses Software

• DLMF

Cites Work

• On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable
• On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable
• Convergent Liouville–Green expansions for second-order linear differential equations, with an application to Bessel functions
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