Research Article

Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms

Volume: 50 Number: 3 June 7, 2021
EN

Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms

Abstract

This paper deals with the oscillation of third-order nonlinear differential equations with neutral terms involving positive and negative nonlinear parts. An example is provided to illustrate the results.

Keywords

References

  1. [1] R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Second Order Lin- ear, Half-Linear, Superlinear and Sublinear Dynamic Equations, Kluwer, Dordrecht, 2010.
  2. [2] R.P. Agarwal, S.R. Grace and D. O’Regan, Oscillation Theory for Difference and Functional Differential Equations, Kluwer, Dordrecht, 2010.
  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, 1–6, 2014.
  5. [5] D.D. Bainov and D.P. Mishev, Oscillation Theory for Neutral Differential Equations with Delay, Adam Hilger, Bristol, 1991.
  6. [6] O. Bazighifan, Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations, Adv. Differ. Equ. 2020, No. 201, 2020.
  7. [7] O. Bazighifan, On the oscillation of certain fourth-order differential equations with p-Laplacian like operator, Appl. Math. Comput. 386, 125475, 2020.
  8. [8] O. Bazighifan, Oscillatory applications of some fourth-order differential equations, Math. Methods Appl. Sci., https://doi.org/10.1002/mma.6694.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 7, 2021

Submission Date

February 24, 2020

Acceptance Date

January 15, 2021

Published in Issue

Year 2021 Volume: 50 Number: 3

APA
Grace, S. R., Graef, J. R., & Tunc, E. (2021). Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics, 50(3), 833-844. https://doi.org/10.15672/hujms.693738
AMA
1.Grace SR, Graef JR, Tunc E. Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics. 2021;50(3):833-844. doi:10.15672/hujms.693738
Chicago
Grace, Said R., John R. Graef, and Ercan Tunc. 2021. “Oscillatory Behavior of Third-Order Nonlinear Differential Equations With Mixed Neutral Terms”. Hacettepe Journal of Mathematics and Statistics 50 (3): 833-44. https://doi.org/10.15672/hujms.693738.
EndNote
Grace SR, Graef JR, Tunc E (June 1, 2021) Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics 50 3 833–844.
IEEE
[1]S. R. Grace, J. R. Graef, and E. Tunc, “Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms”, Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, pp. 833–844, June 2021, doi: 10.15672/hujms.693738.
ISNAD
Grace, Said R. - Graef, John R. - Tunc, Ercan. “Oscillatory Behavior of Third-Order Nonlinear Differential Equations With Mixed Neutral Terms”. Hacettepe Journal of Mathematics and Statistics 50/3 (June 1, 2021): 833-844. https://doi.org/10.15672/hujms.693738.
JAMA
1.Grace SR, Graef JR, Tunc E. Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics. 2021;50:833–844.
MLA
Grace, Said R., et al. “Oscillatory Behavior of Third-Order Nonlinear Differential Equations With Mixed Neutral Terms”. Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, June 2021, pp. 833-44, doi:10.15672/hujms.693738.
Vancouver
1.Said R. Grace, John R. Graef, Ercan Tunc. Oscillatory behavior of third-order nonlinear differential equations with mixed neutral terms. Hacettepe Journal of Mathematics and Statistics. 2021 Jun. 1;50(3):833-44. doi:10.15672/hujms.693738