The Distribution of Zeros of the Solutions of Linear Homogeneous Differential Equations of the Sixth Order Using Semi-critical Intervals

Abstract

In this pap, we investigate the distribution of zeros for the solution of linear Homogeneous Differential Equations (LHDE) in the semi-critical intervals ,for the boundary value problems. The method used in this paper is different from [1-3] in which the authors used geometric approach to distribute the zeros of the solutions of LHDE. We used an analytic approach. Moreover we stated the relation between semi-critical intervals for the boundary value problems .