Xiaoling Hao
Inner Mongolia University
18 Papers
90 Citations
Xiaoling Hao is an academic researcher from Inner Mongolia University. The author has contributed to research in topics: Boundary value problem & Self-adjoint operator. The author has an hindex of 7, co-authored 15 publications.
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Papers
Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions
Kun Li,Jiong Sun,Xiaoling Hao +2 more
TL;DR: In this paper, a class of fourth-order Sturm-Liouville problems with transmission conditions is considered, and an expression for the derivative of the eigenvalues with respect to a given parameter: an endpoint, a boundary condition, a transmission condition, or the weight function is found.
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Characterization of Domains of Self-Adjoint Ordinary Differential Operators II
TL;DR: In this article, the authors characterized the self-adjoint domains of general even order linear ordinary differential operators in terms of real-parameter solutions of the differential equation for endpoints which are regular or singular and for arbitrary deficiency index.
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Canonical forms of self-adjoint boundary conditions for differential operators of order four☆
TL;DR: In this article, the authors find canonical forms for fourth order self-adjoint boundary conditions for differential operators in the Sturm-Liouville case, which are well known in the second order.
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Real-parameter square-integrable solutions and the spectrum of differential operators
TL;DR: In this paper, it was shown that for any self-adjoint realization with boundary conditions which may be separated, coupled, or mixed, there is no continuous spectrum in I. The proof is based on a new characterization of selfadjoint domains and on limitpoint (LP) and limit-circle (LC) solutions established in an earlier paper.
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Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition
TL;DR: In this paper, a discontinuous non-self-adjoint (dissipative) Dirac operator with eigenparameter dependent boundary condition, and with two singular endpoints is studied.
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