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ESTIMATES OF EIGENFUNCTIONS FOR ONE CLASS OF BOUNDARY CONDITIONS

Published online by Cambridge University Press:  01 July 1997

A. MINKIN  and
L. SHUSTER
A. MINKIN
Affiliation:
Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov, 410071, Russia
L. SHUSTER
Affiliation:
Department of Mathematics and Computer Science, Bar-Ilan University, Ramat Gan, 52900, Israel
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Abstract

Requirements for boundary conditions are found which imply sharp by order estimates in L∞-metrics of eigenfunctions of the ordinary differential operator

formula here

It is shown that the inequalities

formula here

for the eigenfunctions {yλ} yield certain restrictions on the spectrum.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 4 , July 1997 , pp. 459 - 469
Copyright
© The London Mathematical Society 1997

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