Mathematics (Aug 2022)

On the Asymptotic Behavior of Noncanonical Third-Order Emden–Fowler Delay Differential Equations with a Superlinear Neutral Term

  • Qingmin Liu,
  • Said R. Grace,
  • Irena Jadlovská,
  • Ercan Tunç,
  • Tongxing Li

DOI
https://doi.org/10.3390/math10162902
Journal volume & issue
Vol. 10, no. 16
p. 2902

Abstract

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The present paper is concerned with the asymptotic behavior of solutions to a class of noncanonical third-order Emden–Fowler delay differential equations with a superlinear neutral term. Using a Riccati-type transformation as well as integral criteria, we establish some new sufficient conditions guaranteeing that every solution of the equation considered either oscillates or converges to zero asymptotically. The results are illustrated with two examples.

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