Expansion by eigenvectors in case of simple eigenvalues of singular differential operator

The asymptotic formulas with large values of parameter for solutions of singular differential equation allow us to estimate Green's function of the boundary-value problem. With the help of this estimation the expansion of singular dierential operator by eigenvectors in the case of simple eigenv...

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Veröffentlicht in:Karpats'kì matematinì publìkacìï 2013-01, Vol.3 (1), p.94-105
Hauptverfasser: O. V. Makhnei, R. M. Tatsii
Format: Artikel
Sprache:eng
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Zusammenfassung:The asymptotic formulas with large values of parameter for solutions of singular differential equation allow us to estimate Green's function of the boundary-value problem. With the help of this estimation the expansion of singular dierential operator by eigenvectors in the case of simple eigenvalues is constructed.
ISSN:2075-9827
2313-0210
DOI:10.15330/cmp.3.1.94-105