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The boundary function under Neumann boundary conditions


Author(s) : A Boumenir, 
Publisher : WATAM PRESS
Publication Date : 1999
ISSN : N/A
Abstract : This study will explain an observation made by Hargrave, some 20 years ago, concerning the computation of eigenvalues of a regular Sturm-Liouville problem with Neumann boundary conditions. Using the sampling method we show that the boundary function is in a Paley-Wiener space in the Dirichlet case but is not even bounded in the Neumann case. This confirms Hargrave's observation. AMS (MOS) subject classification:34L15.,