Symmetry (Nov 2021)

New Oscillation Results of Even-Order Emden–Fowler Neutral Differential Equations

  • Saeed Althubiti,
  • Ibtisam Aldawish,
  • Jan Awrejcewicz,
  • Omar Bazighifan

DOI
https://doi.org/10.3390/sym13112177
Journal volume & issue
Vol. 13, no. 11
p. 2177

Abstract

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The objective of this study is to establish new sufficient criteria for oscillation of solutions of even-order delay Emden-Fowler differential equations with neutral term rıyı+mıygın−1γ′+∑i=1jqiıyγμiı=0. We use Riccati transformation and the comparison with first-order differential inequalities to obtain theses criteria. Moreover, the presented oscillation conditions essentially simplify and extend known criteria in the literature. To show the importance of our results, we provide some examples. Symmetry plays an essential role in determining the correct methods for solutions to differential equations.

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