2 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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\…
Linking Theorems of Local Semiflows on Complete Metric Spaces
Desheng Li, Guoliang Shi, Xianfa Song
In this paper we prove some linking theorems and mountain pass type results for dynamical systems in terms of local semiflows on complete metric spaces. Our results provide an alte…