1 citations · 1 across the 7 of their papers we have counts for
7 papers
A Mixed-Resonance Counterexample to the Lukic Conjecture
Jun Yan
Let be a probability measure on the unit circle with Verblunsky coefficients . Lukic conjectured that a weighted entropy condition with finitely many critical points is equi…
Spectral properties of Sturm-Liouville operators on infinite metric graphs
Yihan Liu, Jun Yan, Jia Zhao
This paper mainly deals with the Sturm-Liouville operator \begin{equation*} \mathbf{H}=\frac{1}{w(x)}\left( -\frac{\mathrm{d}}{\mathrm{d}x}p(x)\frac{ \mathrm{d}}{\mathrm{d}x}+q(x)\…
Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential
Yixuan Liu, Jun Yan
A third order self-adjoint differential operator with periodic boundary conditions and an one-dimensional perturbation has been considered. For this operator, we first show that th…
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…
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…
Multiplicities of Eigenvalues of the Diffusion Operator with Random Jumps from the Boundary
Jun Yan, Guoliang Shi
This paper deals with a non-self-adjoint differential operator which is associated with a diffusion process with random jumps from the boundary. Our main result is that the algebra…