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Qi, J.G., Zheng, Z.W. and Sun, H.Q. (2011) Classification of Sturm-Liouville Differential Equations with Complex Coefficients and Operator Realization. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467, 1835-1850.
https://doi.org/10.1098/rspa.2010.0281

has been cited by the following article:

• TITLE: On the Domains of General Ordinary Differential Operators in the Direct Sum Spaces

  AUTHORS: Sobhy El-Sayed Ibrahim

  KEYWORDS: Quasi-Differential Expressions, Regular and Singular Equations, Minimal and Maximal Operators, Regularly Solvable Operators, J-Self-Adjoint Extension, Boundary Conditions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.12 No.3, March 22, 2022

  ABSTRACT: Given general quasi-differential expressions , each of order n with complex coefficients and their formal adjoint are on the interval [a,b) respectively, we give a characterization of all regularly solvable operators and their adjoints generated by a general ordinary quasi-differential expression in the direct sum Hilbert spaces . The domains of these operators are described in terms of boundary conditions involving -solutions of the equations and their adjoint on the intervals [ap,bp). This characterization is an extension of those obtained in the case of one interval with one and two singular end-points of the interval (a,b), and is a generalization of those proved in the case of self-adjoint and J-self-adjoint differential operators as a special case, where J denotes complex conjugation.