Geodesic
Asymptotics of the Spectrum of Nonsmooth Perturbations of Differential Operators of Order $2m$
Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 833-844

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On a finite closed interval, we obtain the asymptotics of the eigenvalues of a differential operator of order $2m$ perturbed by a differential operator of order $2m-2$ given by a quasidifferential expression. We also consider the case of multiple eigenvalues.
Keywords: perturbation of a differential operator, quasidifferential expression, Hilbert space, Dirichlet boundary conditions, resolvent of an operator.
Mots-clés : spectrum of perturbations 
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     author = {\`E. F. Akhmerova},
     title = {Asymptotics of the {Spectrum} of {Nonsmooth} {Perturbations} of {Differential} {Operators} of {Order} $2m$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {833--844},
     publisher = {mathdoc},
     volume = {90},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_90_6_a2/}
}
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È. F. Akhmerova. Asymptotics of the Spectrum of Nonsmooth Perturbations of Differential Operators of Order $2m$. Matematičeskie zametki, Tome 90 (2011) no. 6, pp. 833-844. http://geodesic.mathdoc.fr/item/MZM_2011_90_6_a2/