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Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences"

NON STABILITY ON BASIS PROPERTY OF SYSTEMS ROOT VECTORS OF A LOADED MULTIPLE DIFFERENTIATION OPERATOR

Published June 2021
Институт математики и математического моделирования, г. Алматы. Institute of Mathematics and Mathematical Modelling,Almaty
Abstract

In this paper we consider perturbations of a second order differential equation of the spectral problem with a loaded term, containing a value of the unknown function at the point zero, with regular, but not strongly regular boundary value conditions. Question about basis property of eigen functions and associated functions (E&AF) systems of a loaded multiple differentiation operator is studied. In the case of non-self-adjoint ordinary differential operators, the basis property of systems of eigen functions and associated functions (E&AF), in addition to the boundary value conditions, can be affected by values of coefficients of the differential operator. Moreover, it is known that the basic properties of E&AF can be changed at a small change of values of the coefficients. This fact was first noted in Il’in V.A. In this paper problem non stability on basis property of systems root vectors of a loaded multiple differentiation operator.

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Рус

How to Cite

[1]
Иманбаев , Н. 2021. NON STABILITY ON BASIS PROPERTY OF SYSTEMS ROOT VECTORS OF A LOADED MULTIPLE DIFFERENTIATION OPERATOR . Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 69, 1 (Jun. 2021), 78–83.