Maozhu Zhang
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View article: Classification of self-adjoint domains of odd-order differential operators with matrix theory
Classification of self-adjoint domains of odd-order differential operators with matrix theory Open
In this article, we investigate the classification of self-adjoint boundary conditions of odd-order differential operators. We obtain that for odd-order self-adjoint boundary conditions under some assumptions, there are exactly two basic t…
View article: Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions
Completeness Theorem for Eigenparameter Dependent Dissipative Dirac Operator with General Transfer Conditions Open
This paper deals with a singular (Weyl’s limit circle case) non-self-adjoint (dissipative) Dirac operator with eigenparameter dependent boundary condition and finite general transfer conditions. Using the equivalence between Lax-Phillips s…
View article: Regular approximation of singular Sturm–Liouville problems with eigenparameter dependent boundary conditions
Regular approximation of singular Sturm–Liouville problems with eigenparameter dependent boundary conditions Open
In this paper we consider singular Sturm–Liouville problems with eigenparameter dependent boundary conditions and two singular endpoints. The spectrum of such problems can be approximated by those of the inherited restriction operators con…
View article: A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter
A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter Open
The present paper deals with a class of discontinuous Sturm–Liouville problems with boundary conditions rationally dependent on the eigenparameter. Operator formulation is built and asymptotic formulas for eigenvalues and eigenfunctions ar…
View article: Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd
Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd Open
We characterize the domains of very general ordinary differential operators of any order, even or odd, with complex coefficients and arbitrary deficiency index.