Article

    Ufa Mathematical Journal
    Volume 6, Number 3, pp. 28-34

    Asymptotics for eigenvalues of Sturm-Liouville operator with periodic boundary conditions


    Karpikova A.V.

    DOI:10.13108/2014-6-3-28

    Download PDF
    Article on MathNet

    Abstact


    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.