On Basic Properties of Eigenfunctions and Associated Functions of One Loaded Operator of Multiple Differentiation.

Autor: Imanbaev, N. S.
Zdroj: Lobachevskii Journal of Mathematics; Mar2022, Vol. 43 Issue 3, p749-754, 6p
Abstrakt: In this paper, we consider perturbations of a second-order differential equation for a spectral problem with a loaded term containing a value of derivative of the desired function at the zero point, with regular, but not strongly regular, boundary value conditions. A characteristic determinant of the considered spectral problem is constructed. Question on stability and instability of basis property of systems of root functions of a loaded second-order differential operator is investigated. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index