most citedEigenvalues of Sturm-Liouville Operators with Distributional Potentials

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math.SP2019

Dependence of Solutions and Eigenvalues of Third Order Linear Measure Differential Equations on Measures

Yixuan Liu, Guoliang Shi, Jun Yan

This paper deals with a complex third order linear measure differential equation \begin{equation*} i\mathrm{d}\left( y^{\prime }\right) ^{\bullet }+2iq\left( x\right) y^{\prime }\m…

math.SP2019

Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions

Jun Yan, Guoliang Shi

This paper deals with the inverse spectral problem for a non-self-adjoint Sturm-Liouville operator with discontinuous conditions inside the interval. We obtain that if the potentia…

math.SP2017★ 1 cited

Eigenvalues of Sturm-Liouville Operators with Distributional Potentials

Jun Yan, Guoliang Shi, Jia Zhao

We introduce a novel approach for dealing with eigenvalue problems of Sturm-Liouville operators generated by the differential expression \begin{equation*} Ly=\frac{1}{r}\left( -(p\…