Jiong Sun
Inner Mongolia University
47 Papers
211 Citations
Jiong Sun is an academic researcher from Inner Mongolia University. The author has contributed to research in topics: Boundary value problem & Sturm–Liouville theory. The author has an hindex of 13, co-authored 47 publications.
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Papers
Two-interval Sturm–Liouville operators in modified Hilbert spaces
TL;DR: By modifying the inner product in the direct sum of the Hilbert spaces associated with each of two underlying intervals on which the Sturm-Liouville equation is defined, the authors generate self-adjoint realizations for boundary conditions with any real coupling matrix whose determinant is positive.
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The finite spectrum of Sturm–Liouville problems with transmission conditions
TL;DR: In this article, a class of regular Sturm-Liouville problems with transmission conditions with exactly n eigenvalues was studied, and these n eigvalues can be located anywhere in the complex plane in non-self-adjoint case and anywhere along the real line in the self-dependent case.
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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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