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

N. S. Imanbaev

2022

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DOI 10.1134/s1995080222060117
Data confidence 70 medium
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Abstract

Abstract 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.