Geodesic
Asymptotics for eigenvalues of Sturm--Liouville operator with periodic boundary conditions
Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 28-34

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We employ the similar operators method for studying the spectral properties of the Sturm–Liouville operator generated by the differential expression $l(y)=-y''-vy$ with a complex potential $v$ and subject to periodic boundary conditions $y(0)=y(2\pi)$, $y'(0)=y'(2\pi)$. We obtain the results on the asymptotics for the spectrum of the operator.
Keywords: similar operators method, Sturm–Liouville operator, the spectrum of operator, asymptotics for the spectrum. 
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     author = {A. V. Karpikova},
     title = {Asymptotics for eigenvalues of {Sturm--Liouville} operator with periodic boundary conditions},
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     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a2/}
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A. V. Karpikova. Asymptotics for eigenvalues of Sturm--Liouville operator with periodic boundary conditions. Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 28-34. http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a2/