Second-Order Neutral Differential Equations: Improved Criteria for Testing the Oscillation

Osama Moaaz, Ali Muhib, Saud Owyed, Emad E. Mahmoud, Aml Abdelnaser and Kottakkaran Sooppy Nisar

Journal of Mathematics, 2021, vol. 2021, 1-7

Abstract: The main purpose of this study is to establish new improved conditions for testing the oscillation of solutions of second-order neutral differential equation rlu′lγ′+qlxβσl=0, where l≥l0 and ul≔xl+pxϱl. By optimizing the commonly used relationship x>1−pu, we obtain new criteria that give sharper results for oscillation than the previous related results. Moreover, we obtain criteria of an iterative nature. Our new results are illustrated by an example.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6665103

DOI: 10.1155/2021/6665103

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