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AIMS Mathematics

2021, Volume 6, Issue 4: 3272-3287. doi: 10.3934/math.2021196
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Neutral differential equations with noncanonical operator: Oscillation behavior of solutions

  • 1.
    Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
  • 2.
    Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
  • 3.
    Physics Department, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia
  • Received: 03 November 2020 Accepted: 31 December 2020 Published: 15 January 2021

  • MSC : 34C10, 34K11

  • The objective of this work is to study the oscillatory behavior of neutral differential equations with several delays. By using both Riccati substitution technique and comparison with delay equations of first-order, we establish new oscillation criteria. Our new criteria are simplifying and complementing some related results that have been published in the literature. Moreover, some examples are given to show the applicability of our results.

    Citation: Elmetwally M. Elabbasy, Amany Nabih, Taher A. Nofal, Wedad R. Alharbi, Osama Moaaz. Neutral differential equations with noncanonical operator: Oscillation behavior of solutions[J]. AIMS Mathematics, 2021, 6(4): 3272-3287. doi: 10.3934/math.2021196

    Related Papers:

  • The objective of this work is to study the oscillatory behavior of neutral differential equations with several delays. By using both Riccati substitution technique and comparison with delay equations of first-order, we establish new oscillation criteria. Our new criteria are simplifying and complementing some related results that have been published in the literature. Moreover, some examples are given to show the applicability of our results.


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