Nonlinear eigenvalue problems

This paper presents an asymptotic study of the differential equation y′(x) = cos [πxy(x)] subject to the initial condition y(0) = a. While this differential equation is nonlinear, the solutions to the initial-value problem bear a striking resemblance to solutions to the linear time-independent Schrö...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 47; no. 23; pp. 235204 - 15
Main Authors Bender, Carl M, Fring, Andreas, Komijani, Javad
Format Journal Article
LanguageEnglish
Published IOP Publishing 13.06.2014
Subjects
asymptotic
Asymptotic properties
Constants
Differential equations
eigenvalue
Eigenvalues
Mathematical analysis
Mathematical models
Nonlinearity
Schroedinger equation
semiclassical
separatrix
WKB
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ISSN1751-8113
1751-8121
DOI10.1088/1751-8113/47/23/235204

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