Asymptotic formulae of Liouville-Green type for a general fourth-order differential equation

DOI10.1216/RMJM/1181071741zbMath0929.34043OpenAlexW2054528978WikidataQ115239935 ScholiaQ115239935MaRDI QIDQ1293499

A. S. A. Al-Hammadi

Publication date: 25 January 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/RMJ28-3/cont28-3/cont28-3.html

zbMATH Keywords

fourth-order ordinary differential equationsasymptotic formulae of Liouville-Green type

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Asymptotic theory for third-order differential equations of Euler type
• Asymptotics for a class of fourth order differential equations
• Asymptotic behavior of solutions of \((ry^{(m)})^{(k)} \pm qy = 0\)
• Asymptotics of the solutions to \([(ry)' - py'' + qy = \sigma y\)]
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic Formulae of Liouville-Green Type for Higher-Order Differential Equations
• On the eigenvectors for a class of matrices arising from quasi-derivatives
• Asymptotic theory for third‐order differential equations
• Higher-Order Differential Equations with Small Oscillatory Coefficients
• The asymptotic solution of linear differential systems

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