A rigorous proof of an exponentially small estimate for a boundary value arising from an ordinary differential equation

DOI10.1017/S0308210500024422zbMath0715.34107OpenAlexW2126659624WikidataQ115335869 ScholiaQ115335869MaRDI QIDQ3202491

Alexander M. Davie, J. G. B. Byatt-Smith

Publication date: 1990

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024422

zbMATH Keywords

first Painlevé transcendentexponentially small estimate

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

Transcendentally small reflection of waves for problems with/without turning points near infinity: A new uniform approach

Cites Work

• On Some Conjectures of Turcotte, Spence, Bau, and Holmes
• Resonant sloshing in shallow water
• Resonant oscillations in shallow water with small mean-square disturbances
• Reflection of Waves in a Slowly Varying Medium
• The Asymptotic Solution of a Connection Problem of a Second Order Ordinary Differential Equation

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