Characteristic Determinant of a Perturbed Regular Third-order Differential Operator on an Interval
Imanbaev N.S.
2025Siberian Federal University
Journal of Siberian Federal University - Mathematics and Physics
2025#18Issue 125 - 31 pp.
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 differential 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.
characteristic determinant , conjugate operator , differential operator , eigen-functions , eigenvalues , entire function , integral perturbation , loaded
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Zhanibekov South Kazakhstan Pedagogical University Shymkent, Kazakhstan Institute of Mathematics and Mathematical Modeling Almaty, Kazakhstan
Zhanibekov South Kazakhstan Pedagogical University Shymkent
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