The spectrum and principal functions of a nonself-adjoint Sturm–Liouville operator with discontinuity conditions
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Keywords:
nonself-adjoint Sturm–Liouville operator, discontinuity conditions, eigenvalues and spectral singularities, principal functionsAbstract
This paper deals with the nonself-adjoint Sturm–Liouville operator (or one-dimensional time-independent Schrödinger operator) with discontinuity conditions on the positive half line. In this study, the spectral singularities and the eigenvalues are investigated and it is proved that this problem has a nite number of spectral singularities and eigenvalues with nite multiplicities under two additional conditions. Moreover, we determine the principal functions with respect to the eigenvalues and the spectral singularities of this operator.
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Published
2024-11-17
How to Cite
Palamut Kosar, N., & Akcay, O. (2024). The spectrum and principal functions of a nonself-adjoint Sturm–Liouville operator with discontinuity conditions. Eurasian Mathematical Journal, 15(3), 55–67. Retrieved from https://emj.enu.kz/index.php/main/article/view/416
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