The Distribution of the Solution Zeros for the Boundary Problems of Four Points of Linear Homogeneous Differential Equations of the Sixth Order

In this study, the author investigates the distribution of the zeros of solutions of the sixth order linear homogenous differential equations (LHDE) with boundary conditions. An analytic approach is employed in this paper that is based on the semi critical intervals of boundary value problems. The main results are generalization of the results of LHDE of fifth order and expansion to four points boundary value problems.