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

Main Article Content

Kathim A. H
Wafaa M. Taha

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 .

Downloads

Download data is not yet available.

Article Details

Section

Articles

How to Cite

The Distribution of Zeros of the Solutions of Linear Homogeneous Differential Equations of the Sixth Order Using Semi-critical Intervals. (2023). Tikrit Journal of Pure Science, 21(3), 162-165. https://doi.org/10.25130/tjps.v21i3.1010

References

[1]- Alive R. G., 1962, On the question of distribution of zeros of solutions of linear differential equations of fourth order, Recnts. of Sci. Asp. Conf., Kazan Ins . .

[2]- Peterson A. C., 1969, Distribution of Zeros Solution of Fourth Order Differential Equation, Pacific Journal of mathematics, Vol.30, P 751-764.

[3]-Jerry R. Ridenhouk, 1974, On the Zeros of Solutions of Nth Order Linear Differential Equations , Journal of Differential Equations 16, p 45-71.

[4]- Al-Jawfi S.A., Kathim A.H., 2012.The laws of the distribution of zeros of solutions of a linear differential equation of order 5. Herald of Dagestan state university ( DSU). Vol. 1,p. 79–86.

[5]- Al-Jawfi S.A.,2012, Limit relations between the semi-critical intervals solutions of multipoint boundary value problems for linear fifth-order differential equation. Herald of Dagestan state university ( DSU). Vol. 6, p. 61–66.

[6]- Al-Jawfi S.A., 2012, On the disappearance non-trivial solutions of multipoint boundary value problems in the non-trivial in the case of a linear differential equation of fifth order, Herald of Dagestan state university (DSU). Vol. 6,p. 119–126.

[7]- Al-Jawfi S.A.,2012, On nontrivial solutions of the homogeneous multi-point boundary value problems for linear fifth-order differential equation, Herald of Dagestan state university ( DSU). Vol. 6, p. 87–92.

[8]- Al-Jawfi S.A., MD Jasim, Kathim A.H., 2012, The laws of the distribution of zeros of solutions boundary value problem Vallée Poussin of linear differential equation of the fifth-order // Modern methods of boundary value problems(Spring materials Voronezh Mathematical School "Pontryagin reading - XXI»). Voronezh., p. 6-9.

[9]- Al-Jawfi S.A., Kathim A.H., 2012, The laws of the distribution of zeros of solutions of a linear differential equation of order 5// Collection of scientific articles on materials of the IV-th International scientific-practical conference, Stavropol, Samara State Aerospace University September 28-29, p. 103-109.

[10]- G. Sansone, 1953, Ordinary Differential Equations, Part 1, Moscow, (in Russian).

[11]- Shan Wenrui, Niu Zhilei, Guo Yanping, 2007, The distribution of zeros of solutions for a class of neutral delay differential equations, Science Direct Applied Mathematics and Computation 186 (2007), p 1137–1150.

Similar Articles

You may also start an advanced similarity search for this article.