Oscillation criteria for third order nonlinear neutral differential equation

Authors

  • Prof. Taher S. Hassan Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia.
  • Bassant M. El-Matary

Keywords:

oscillation, third order, neutral differential equation

Abstract

The purpose of this paper is to give oscillation criteria for the third order nonlinear neutral
differential equation
[a2(t){(a1(t)((x(t) + p(t)x(τ(t)))′)α1 )′}α2 ]′ + q(t) f (x(g(t))) = 0.
Via comparison with some first order differential equations whose oscillatory characters are known.
Our results generalize and improve some known results for oscillation of third order nonlinear
differential equations. Some examples are given to illustrate our results.

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Published

2022-02-15

How to Cite

S. Hassan, T. ., & M. El-Matary, D. B. . (2022). Oscillation criteria for third order nonlinear neutral differential equation. PLOMS Mathematics, 1(1). Retrieved from https://plomscience.com/journals/index.php/Math/article/view/16

Issue

Vol. 1 No. 1 (2021): Volum 2021

Section

Articles

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