The Geometric Approach to Studying the Relations between the Intervals of Uniqueness of Solutions Seventh -Order Differential Equation

Authors

  • Salah Ali Saleh Al-Joufi Department of Mathematics, Faculty of Applied and Educational Sciences, Ibb University, Ibb, Yemen
  • Karwan Hama Faraj Jwamer Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Iraq

DOI:

https://doi.org/10.59167/tujnas.v9i1.2054

Keywords:

Seventh order, Semi-oscillatory interval, Semi-critical interval, Boundary value problems, Fundamental normal solution, Linear differential equations, Distribution of zeros for the solution

Abstract

This paper addresses the issue of the relations between semi-critical intervals of LHDE of the seventh order with (2, 3, 4, and 5 points) boundary conditions and with measurable coefficients. We shall use the geometric approach to state and prove some properties of LHDE. Moreover, the distribution of zeros in the solutions of the linear homogeneous differential equations (LHDE) has also been explored. The obtained results have been generalized for the sixth-order differential equation.

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Published

26-06-2024

How to Cite

Al-Joufi, S. A. S., & Jwamer, K. H. F. (2024). The Geometric Approach to Studying the Relations between the Intervals of Uniqueness of Solutions Seventh -Order Differential Equation. Thamar University Journal of Natural & Applied Sciences, 9(1). https://doi.org/10.59167/tujnas.v9i1.2054

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