Research Article

Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term

Volume: 49 Number: 2 April 2, 2020
EN

Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term

Abstract

We study the oscillation problem for solutions of a class of $n$-th order nonlinear delay differential equations with nonpositive neutral terms. The obtained results improve and correlate many of the known oscillation criteria in the literature for neutral and non-neutral equations.

Keywords

References

  1. [1] R.P. Agarwal, S.R. Grace, and D. O’Regan, Oscillation theory for second order linear, half-linear, superlinear and sublinear dynamic equations, Springer Science & Business Media, 2002.
  2. [2] R.P. Agarwal, S.R. Grace, and P.J.Y. Wong, Oscillation theorems for certain higher order nonlinear functional differential equations, Appl. Anal. Discr. Math. 2, 1–30, 2008.
  3. [3] R.P. Agarwal, M. Bohner, T. Li, and C. Zhang, A new approach in the study of oscillatory behavior of even-order neutral delay differential equations, Appl. Math. Comput. 225, 787–794, 2013.
  4. [4] R.P. Agarwal, M. Bohner, T. Li, and C. Zhang, Oscillation of second order differential equations with a sublinear neutral term, Carpathian J. Math. 30 (1), 1–6, 2014.
  5. [5] J.G. Dong, Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments, Comput. Math. Appl. 59, 3710 – 3717, 2010.
  6. [6] S.R. Grace and B.S. Lalli, Oscillation of nonlinear second order neutral differential equations, Rat. Math. 3, 77 – 84, 1987.
  7. [7] S.R. Grace, J.R. Graef, and M.A. El-Beltagy, On the oscillation of third order neutral delay dynamic equations on time scales, Comput. Math. Appl. 63 (4), 775–782, 2012.
  8. [8] S.R. Grace and I. Jadlovská, Oscillation Criteria for second-order neutral damped differential equations with delay argument, in: Dynamical Systems - Analytical and Computational Techniques, InTech, 2017.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 2, 2020

Submission Date

October 16, 2018

Acceptance Date

March 26, 2019

Published in Issue

Year 2020 Volume: 49 Number: 2

APA
Grace, S. R., Jadlovska, İ., & Ağacık, Z. (2020). Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term. Hacettepe Journal of Mathematics and Statistics, 49(2), 766-776. https://doi.org/10.15672/hujms.471023
AMA
1.Grace SR, Jadlovska İ, Ağacık Z. Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term. Hacettepe Journal of Mathematics and Statistics. 2020;49(2):766-776. doi:10.15672/hujms.471023
Chicago
Grace, Said R., İrena Jadlovska, and Zafer Ağacık. 2020. “Oscillatory Behavior of $n$-Th Order Nonlinear Delay Differential Equations With a Nonpositive Neutral Term”. Hacettepe Journal of Mathematics and Statistics 49 (2): 766-76. https://doi.org/10.15672/hujms.471023.
EndNote
Grace SR, Jadlovska İ, Ağacık Z (April 1, 2020) Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term. Hacettepe Journal of Mathematics and Statistics 49 2 766–776.
IEEE
[1]S. R. Grace, İ. Jadlovska, and Z. Ağacık, “Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, pp. 766–776, Apr. 2020, doi: 10.15672/hujms.471023.
ISNAD
Grace, Said R. - Jadlovska, İrena - Ağacık, Zafer. “Oscillatory Behavior of $n$-Th Order Nonlinear Delay Differential Equations With a Nonpositive Neutral Term”. Hacettepe Journal of Mathematics and Statistics 49/2 (April 1, 2020): 766-776. https://doi.org/10.15672/hujms.471023.
JAMA
1.Grace SR, Jadlovska İ, Ağacık Z. Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term. Hacettepe Journal of Mathematics and Statistics. 2020;49:766–776.
MLA
Grace, Said R., et al. “Oscillatory Behavior of $n$-Th Order Nonlinear Delay Differential Equations With a Nonpositive Neutral Term”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 2, Apr. 2020, pp. 766-7, doi:10.15672/hujms.471023.
Vancouver
1.Said R. Grace, İrena Jadlovska, Zafer Ağacık. Oscillatory behavior of $n$-th order nonlinear delay differential equations with a nonpositive neutral term. Hacettepe Journal of Mathematics and Statistics. 2020 Apr. 1;49(2):766-7. doi:10.15672/hujms.471023

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