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Detalles del recurso


The asymptotic behavior, with respect to the large parameter µ, of two solutions of d2y/dx2 + µ2 [c2 - x2 + f(x, µ-1)] y = 0 is given where f(x, µ-1) = 0(µ-1) is subjected to suitable hypotheses and all variables are real. These solutions are approximated to by the parabolic cylinder functions Dv(±√2µ t) with v = µ a2/2 - 1/2 and t = Ø(x,µ-1). The function Ø(x,µ-1) and the quantity a2 are constructed as a part of the analysis in which the parameter µ is restricted in such a way that v is bounded away from the positive integers. The relative error of the approximating functions is uniform for all x.

Pertenece a



Owens, Robert Hunter - 

Id.: 70979749

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Tipo de recurso: Thesis  -  NonPeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://resolver.caltech.edu/CaltechTHESIS:02082018-101404674
[References] https://thesis.library.caltech.edu/10684/

Fecha de contribución: 09-feb-2018


* Owens, Robert Hunter (1952) An Asymptotic Study of a Glass of Ordinary Linear Differential Equations of the Second Order. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:02082018-101404674

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