Geodesic
The discrete spectrum of operators with two distant perturbations
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 37-45

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We consider a periodic differential operator of second order with two distant perturbations. The perturbations are described by finite potentials. We study the behavior of the discrete spectrum of the perturbed operator. We construct the first two terms of the asymptotic expansions of the eigenvalues and corresponding eigenfunctions.
Keywords: spectrum, discrete spectrum, asymptotics, periodic operator
Mots-clés : distant perturbations. 
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     author = {A. M. Golovina},
     title = {The discrete spectrum of operators with two distant perturbations},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {37--45},
     publisher = {mathdoc},
     number = {14},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a3/}
}
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A. M. Golovina. The discrete spectrum of operators with two distant perturbations. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 14 (2011), pp. 37-45. http://geodesic.mathdoc.fr/item/VCHGU_2011_14_a3/