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ESTIMATES OF EIGENFUNCTIONS FOR ONE CLASS OF BOUNDARY CONDITIONS

Published online by Cambridge University Press:  01 July 1997

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

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It is shown that the inequalities

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

Type
Research Article
Copyright
© The London Mathematical Society 1997

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