Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2025 18 (1)
- Authors
- Imanbaev, Nurlan S.
- Contact information
- Imanbaev, Nurlan S. : Zhanibekov South Kazakhstan Pedagogical University Shymkent, Kazakhstan Institute of Mathematics and Mathematical Modeling Almaty, Kazakhstan; OCRID: 0000-0002-5220-9899
- Keywords
- differential operator; integral perturbation; onjugate operator; loaded; igenvalues; eigenfunctions; characteristic determinant; entire function
- Abstract
The spectral problem for a third-order operator with an integral perturbation of one of the boundary value conditions are considered in the paper. Conditions are regular and at the same time strongly regular. A feature of the problem is that the conjugate operator is a loaded third-order differ- ential operator with regular (strongly regular) boundary value conditions. Characteristic determinant of the spectral problem is constructed, and conclusions about eigenvalues of the perturbed operator are drawn
- Pages
- 25–31
- EDN
- GMRCJR
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/154247
Journal of Siberian Federal University. Mathematics & Physics / Characteristic Determinant of a Perturbed Regular Third-order Differential Operator on an Interval
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