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Research Article Open access CC BY 4.0

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

A. H. Kathim

Journal of Advances in Mathematics and Computer Science · pp. 1–13 · Published 20 Sep 2016

10.9734/BJMCS/2016/28722

Abstract

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.

Linear differential equations; distribution of zeros for the solution boundary value problems semi-oscillatory interval semi-critical interval fundamental normal solution

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