Geodesic
About the spectral properties of the family of the differential operator of even order with summable potential
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 21 (2018) no. 2, pp. 13-26

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The article is devoted to investigating the method for studying the spectral properties of differential operators of high even order with summable potential. The asymptotic behavior of the solutions of the corresponding differential equation has been found for large values of the spectral parameter. The boundary conditions have been studied, and the equation for eigenvalues of the operator under investigation has been formulated. The indicator diagram of this equation has been studied. The asymptotic behavior of eigenvalues of the studied operator has been found.
Keywords: differential operator, spectral parameter, boundary conditions, indicator diagram, asymptotics of eigenvalues. 
@article{VVGUM_2018_21_2_a1,
     author = {S. I. Mitrokhin},
     title = {About the spectral properties of the family of the differential operator of even order with summable potential},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {13--26},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2018_21_2_a1/}
}
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S. I. Mitrokhin. About the spectral properties of the family of the differential operator of even order with summable potential. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 21 (2018) no. 2, pp. 13-26. http://geodesic.mathdoc.fr/item/VVGUM_2018_21_2_a1/