On Basic Properties of Eigenfunctions and Associated Functions of One Loaded Operator of Multiple Differentiation
Imanbaev N.S.
March 2022Pleiades journals
Lobachevskii Journal of Mathematics
2022#43Issue 3749 - 754 pp.
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.
adjoint operator , associated functions , eigenfunctions , eigenvalues , loaded operator , multiple differentiation , Riesz basis , root vectors
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South Kazakhstan State Pedagogical University, Shymkent, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
South Kazakhstan State Pedagogical University
Institute of Mathematics and Mathematical Modeling
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