Geodesic
About the method of traces of resolvents calculated precisely
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 37-52

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In the article it is ascertained that there are some methods of calculation of eigenvalues of ordinary boundary problems for the equations of mathematical physics. If the positive degree of a resolvent is the kernel operator this can take advantage at calculation of a spectrum of a boundary problem. It is mentioned that similar results are reached by A. A. Dorodnitsyn.
Keywords: spectrum, discrete operator, Hilbert space. 
@article{VSGU_2011_5_a4,
     author = {E. M. Maleko},
     title = {About the method of traces of resolvents calculated precisely},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {37--52},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_5_a4/}
}
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E. M. Maleko. About the method of traces of resolvents calculated precisely. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 37-52. http://geodesic.mathdoc.fr/item/VSGU_2011_5_a4/