Title of article :
APPROXIMATION PROPERTIES OF SOME SYSTEMS OF ROOT FUNCTIONS GENERATED BY WELL-POSED SOLVABLE BOUNDARY VALUE PROBLEMS
Author/Authors :
KANGUZHIN, BALTABEK Al-Farabi Kazakh National University, Kazakhstan , NURAKHMETOV, DAULET S.Seifullin Kazakh Agrotechnical University, Kazakhstan
Abstract :
In this paper, we consider some properties of the systems of root functions generated by the first order differential operator. We obtain explicit form of the biorthogonal systems for the systems of root functions generated by the first order differential operator. We investigate the approximation properties of the systems of root functions of the first order differential operator. We obtain a sufficient condition for the completeness of the systems of root functions of the first order differential operator in terms of the boundary functions.
Keywords :
resolvent of the operator , well , posed boundary value problems , completeness of the systems of root functions
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
