Oscillation Criteria for Solutions of Neutral Differential Equations of Impulses Effect with Positive and Negative Coefficients

Authors

Hussain Ali Mohamad, Department of Mathematics, College of Science for Women, University of Baghdad.
Aqeel Falih Jaddoa, Department of Mathematics College of Education for Pure Science Ibn Al-Haitham, University of BaghdadFollow

Abstract

In this paper, some necessary and sufficient conditions are obtained to ensure the oscillatory of all solutions of the first order impulsive neutral differential equations. Also, some results in the references have been improved and generalized. New lemmas are established to demonstrate the oscillation property. Special impulsive conditions associated with neutral differential equation are submitted. Some examples are given to illustrate the obtained results.

Keywords

Impulsive Neutral Differential Equations, Oscillation, Variable Delays, Variable Coefficients

Article Type

Article

How to Cite this Article

Mohamad, Hussain Ali and Jaddoa, Aqeel Falih (2020) "Oscillation Criteria for Solutions of Neutral Differential Equations of Impulses Effect with Positive and Negative Coefficients," Baghdad Science Journal: Vol. 17: Iss. 2, Article 9.
DOI: https://doi.org/10.21123/bsj.2020.17.2.0537