Geodesic
Characteristic determinant of a perturbed regular third-order differential operator on an interval
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 25-31

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In the paper, we consider the spectral problem for a third-order operator with an integral perturbation of one of the boundary value conditions that are regular and at the same time strongly regular; a feature of the problem is that the conjugate operator will be a loaded third-order differential operator with regular (strongly regular) boundary value conditions. Moreover, a characteristic determinant of the spectral problem is constructed, on the basis of which conclusions about eigenvalues of the perturbed operator are assumed.
Keywords: differential operator, conjugate operator, loaded, eigenvalues, eigenfunctions, characteristic determinant, entire function.
Mots-clés : integral perturbation 
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Nurlan S. Imanbaev. Characteristic determinant of a perturbed regular third-order differential operator on an interval. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 25-31. http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a2/