Abdur Raheem - Department of Mathematics, Faculty of Sciecne, Aligarh Muslim University, Aligarh, India
Asma Afreen - Department of Mathematic, Faculty of Science, Aligarh Muslim University, Aligarh, India
Areefa Khatoon - Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India

This paper aims to study the oscillatory nature of solutions for fourth-order neutral differential equations with mixed deviating arguments and improved oscillation conditions obtained in various cases. We reduced the problem to first-order differential inequality by using suitable substitutions that enabled us to use comparison theorems. Further, we discuss the asymptotic nature of solutions, and in the end, an example is given to validate the results.

Fourth-order, Neutral differential equations, Mixed deviating arguments, Oscillation, Asymptotic behavior