Oscillation and Asymptotic Behavior of a Three-Dimensional Half-Linear System of Third-Order of Neutral Type

Ahmed Abdulhasan Naeif; Hussain Ali Mohamad

doi:10.24996/ijs.2024.65.1.24

Authors

Ahmed Abdulhasan Naeif Department of Mathematics, College of Science, University of Baghdad, Iraq https://orcid.org/0000-0002-5597-1731
Hussain Ali Mohamad Department of Mathematics, College of Science for Women, University of Baghdad, Iraq https://orcid.org/0000-0002-4684-786X

DOI:

https://doi.org/10.24996/ijs.2024.65.1.24

Keywords:

Oscillation, Positive solution, Three-dimensional, Half linear neutral system, Third order

Abstract

In this paper, the oscillatory properties and asymptotic behaviour of a third-order three-dimensional neutral system are discussed. Some sufficient conditions are obtained to ensure that all bounded positive solutions of the system are oscillatory or non-oscillatory. On the other hand, the non-oscillatory solutions either converge or diverge when goes to infinity. A special technique is adopted to include all possible cases. The obtained results include illustrative examples.