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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011 Issue 8, Pages 46–51 (Mi vyuru159)

This article is cited in 11 papers

Mathematical modeling

Numeric method of finding the eigenvalues for the discrete lower semibounded operators

S. I. Kadchenko, L. S. Ryazanova

Magnitogorsk State University

Abstract: In the work the effective method of finding the eigenvalues of the perterbed discrete lower semibounded operators, when the eigenvalues of not perterbed operators have an arbitary multiplicity, is developed. New results, allowing to apply this method by experts, having basic knowledge in the area of the spectral theory of operators are received.

Keywords: amendments of the theory of pertubation, discrete and the self-adjoint operators, eigenvalues, eigenfunctions.

UDC: 519.642.8

Received: 15.01.2011



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