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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2007 Volume 82, Issue 4, Pages 578–582 (Mi mzm3838)

This article is cited in 14 papers

An Irregular Extension of the Oscillation Theory of the Sturm–Liouville Spectral Problem

Yu. V. Pokornyia, M. B. Zverevaa, A. S. Ishchenkob, S. A. Shabrova

a Voronezh State University
b Belgorod University of Consumer's Cooperation

Abstract: Oscillation spectral properties (such as the number of zeros, the alternation of zeros for eigenfunctions, the simplicity of the spectrum, etc.) for the Sturm–Liouville problem with generalized coefficients are described.

Keywords: Sturm–Liouville problem, oscillation spectral properties, number of zeros, alternation of zeros, Stieltjes differential, differential inequality.

UDC: 517.927

Received: 01.01.2007

DOI: 10.4213/mzm3838


 English version:
Mathematical Notes, 2007, 82:4, 518–521

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