%0 Journal Article
%T Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Al-Joufi, Salah Ali Saleh
%A Jwamer, Karwan Hama Faraj
%D 2020
%\ 04/01/2020
%V 8
%N 2
%P 294-304
%! Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals
%K Linear differential equations
%K Distribution of zeros for the solution
%K Boundary value problems
%K Semi-oscillatory interval
%K Semi-critical interval
%R 10.22034/cmde.2020.28205.1384
%X In this paper, the issue of distribution of zeros of the solutions of linear homogenous differential equations (LHDE) have been investigated in terms of semi-critical intervals. We shall follow a geometric approach to state and prove some properties of LHDEs of the sixth order with (2, 3, 4, and 5 points) boundary conditions and with measurable coefficients. Moreover, the relations between semi-critical intervals of the LHDEs have been explored. Also, the obtained results have been generalized for the 5th order differential equations.
%U https://cmde.tabrizu.ac.ir/article_10486_cfd5feaf7aa1c5ab5a6a97743f13d0ba.pdf