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

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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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     author = {S. I. Kadchenko and S. N. Kakushkin},
     title = {Meanings of the {First} {Eigenfunctions} of {Perturbed} {Discrete} {Operator} with {Simple} {Spectrum} {Finding}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {25--32},
     publisher = {mathdoc},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2012_11_a2/}
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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/