Oscillation and asymptotic behavior for fourth order neutral differential equations with mixed deviating arguments

Document Type : Research Articles

Authors

1 Department of Mathematics, Faculty of Sciecne, Aligarh Muslim University, Aligarh, India

2 Department of Mathematic, Faculty of Science, Aligarh Muslim University, Aligarh, India

3 Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh, India

10.22080/cjms.2023.21174.1578

Abstract

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.

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Caspian Journal of Mathematical Sciences (CJMS)
Volume 12, Issue 2 - Serial Number 24
December 2023
Pages 233-247

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