Generalized boundary value problem and its application to the density wave theory of spiral galaxies

DOI10.2996/KMJ/1138036805zbMath0526.34045OpenAlexW1999195554MaRDI QIDQ595088

Toshihiko Nishimoto

Publication date: 1983

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036805

zbMATH Keywords

turning pointsWKB methodsingular curvesdensity wave theoryspiral galaxies

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Ordinary differential equations in the complex domain (34M99)

Cites Work

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• Asymptotic reduction of a certain boundary value problem arising from the density wave theory of spiral galaxies
• Uniform asymptotic properties of the WKB method
• Response of Gas to an Ovally Deformed Gravitational Potential of a Disk Galaxy
• Global Dispersion Relation for Density Waves In a Certain Simplified Model of a Disk Shaped Galaxy

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