Geodesic
Meanings of the First Eigenfunctions of Perturbed Discrete Operator with Simple Spectrum Finding
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 25-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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In article received analitical formulas for finding first «weighted» corrections of the perturbation theory perturbed selfadjoint operators, when eigenvalues of unperturbed operators is simple. Received estimate of remainder of Rayleigh–Shredinger's sum of functional series. The method of finding of meanings of eigenfunctions of perturbed discrete operator with a simple spectrum is developed.
Keywords: «weighted» corrections of the perturbation theory, discrete operators, eigenvalues, eigenfunctions. 
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     title = {Meanings of the {First} {Eigenfunctions} of {Perturbed} {Discrete} {Operator} with {Simple} {Spectrum} {Finding}},
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S. I. Kadchenko; S. N. Kakushkin. Meanings of the First Eigenfunctions of Perturbed Discrete Operator with Simple Spectrum Finding. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 25-32. http://geodesic.mathdoc.fr/item/VYURU_2012_11_a2/

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