Research article

Oscillation theorems of solution of second-order neutral differential equations

  • Received: 14 January 2021 Accepted: 10 August 2021 Published: 07 September 2021
  • MSC : 34C10, 34K11

  • In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order neutral differential equations. Finally, an illustrated example is given to demonstrate the effectiveness of our new criteria.

    Citation: Ali Muhib, Hammad Alotaibi, Omar Bazighifan, Kamsing Nonlaopon. Oscillation theorems of solution of second-order neutral differential equations[J]. AIMS Mathematics, 2021, 6(11): 12771-12779. doi: 10.3934/math.2021737

    Related Papers:

  • In this paper, we aim to explore the oscillation of solutions for a class of second-order neutral functional differential equations. We propose new criteria to ensure that all obtained solutions are oscillatory. The obtained results can be used to develop and provide theoretical support for and further develop the oscillation study for a class of second-order neutral differential equations. Finally, an illustrated example is given to demonstrate the effectiveness of our new criteria.



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