A Survey on Extremal Problems of Eigenvalues

Given an integrable potential q∈L1([0,1],ℝ), the Dirichlet and the Neumann eigenvalues λnD(q) and λnN(q) of the Sturm-Liouville operator with the potential q are defined in an implicit way. In recent years, the authors and their collaborators have solved some basic extremal problems concerning these...

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Bibliographic Details
Main Authors: Ping Yan, Meirong Zhang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/670463