Liouville-Green approximations via the Riccati transformation

DOI10.1016/0022-247X(86)90048-XzbMath0618.34011MaRDI QIDQ1089145

Donald R. Smith

Publication date: 1986

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

zbMATH Keywords

Liouville-Green approximationsscalar second order equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

Decoupling of recessive and nonrecessive solutions for a second-order system ⋮ Liouville-Green approximations for a class of linear oscillatory difference equations of the second order

Cites Work

• Improved error bounds for the Liouville Green (or WKB) approximation
• On the asymptotic integration of linear differential systems
• Dichotomies in stability theory
• A unified theory of asymptotic integration
• The asymptotic nature of solutions of linear systems of differential equations
• The asymptotic solution of second-order differential equations
• Error Bounds for the Liouville-Green Approximation to Initial-Value Problems
• Asymptotic Integrations of Linear Differential Equations
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