Research Article

Oscillation criteria of second order differential equations with positive and negative coefficients

Volume: 51 Number: 4 August 1, 2022
EN

Oscillation criteria of second order differential equations with positive and negative coefficients

Abstract

In this paper we obtain oscillation criteria for solutions of homogeneous and nonhomogeneous cases of second order neutral differential equations with positive and negative coefficients. Our results improve and extend the results of [Oscillation criteria for a class of second order neutral delay differential equations, Appl. Math. Comput. \textbf{210}, 303--312, 2009].

Keywords

References

  1. [1] M.R. Kulenović, S. Hadˇziomersphaić, Existence of nonoscillatory solution of second order linear neutral delay equation, J. Math. Anal. Appl. 228, 436–448, 1998.
  2. [2] B. Karpuz, J. Manojlovic, Ö. Öcalan, and Y. Shoukaku, Oscillation criteria for a class of second order neutral delay differential equations, Appl. Math. Comput. 210, 303–312, 2009.
  3. [3] T. Li, Z. Han, S. Sun, and D. Yang, Existence of nonoscillatory solutions to second- order neutral delay dynamic equations on time scales, Adv. Difference Equ. 2009, 1–10, 2009.
  4. [4] T. Li, N. Pintus, and G. Viglialoro, Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys. 70 (3), 1–18, 2019.
  5. [5] T. Li, and Y.V. Rogovchenko, On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations, Appl. Math. Lett. 105, 1–7, 2020.
  6. [6] J. Manojlović, Y. Shoukaku, T. Tanigawa, and N. Yoshida, Oscillation criteria for second order differential equations with positive and negative coefficients, Appl. Math. Comput. 181, 853–863, 2006.
  7. [7] S. Padhi, Oscillation and asymptotic behavior of solutions of second order neutral differential equations with positive and negative coefficients, Fasc. Math. 38, 105–114, 2007.
  8. [8] S. Padhi, Oscillation and asymptotic behavior of solutions of second order homogeneous neutral differential equations with positive and negative coefficients, Funct. Differ. Equ. 14, 363–371, 2007.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2022

Submission Date

August 12, 2020

Acceptance Date

August 25, 2021

Published in Issue

Year 2022 Volume: 51 Number: 4

APA
Shoukaku, Y. (2022). Oscillation criteria of second order differential equations with positive and negative coefficients. Hacettepe Journal of Mathematics and Statistics, 51(4), 970-980. https://doi.org/10.15672/hujms.779452
AMA
1.Shoukaku Y. Oscillation criteria of second order differential equations with positive and negative coefficients. Hacettepe Journal of Mathematics and Statistics. 2022;51(4):970-980. doi:10.15672/hujms.779452
Chicago
Shoukaku, Yutaka. 2022. “Oscillation Criteria of Second Order Differential Equations With Positive and Negative Coefficients”. Hacettepe Journal of Mathematics and Statistics 51 (4): 970-80. https://doi.org/10.15672/hujms.779452.
EndNote
Shoukaku Y (August 1, 2022) Oscillation criteria of second order differential equations with positive and negative coefficients. Hacettepe Journal of Mathematics and Statistics 51 4 970–980.
IEEE
[1]Y. Shoukaku, “Oscillation criteria of second order differential equations with positive and negative coefficients”, Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, pp. 970–980, Aug. 2022, doi: 10.15672/hujms.779452.
ISNAD
Shoukaku, Yutaka. “Oscillation Criteria of Second Order Differential Equations With Positive and Negative Coefficients”. Hacettepe Journal of Mathematics and Statistics 51/4 (August 1, 2022): 970-980. https://doi.org/10.15672/hujms.779452.
JAMA
1.Shoukaku Y. Oscillation criteria of second order differential equations with positive and negative coefficients. Hacettepe Journal of Mathematics and Statistics. 2022;51:970–980.
MLA
Shoukaku, Yutaka. “Oscillation Criteria of Second Order Differential Equations With Positive and Negative Coefficients”. Hacettepe Journal of Mathematics and Statistics, vol. 51, no. 4, Aug. 2022, pp. 970-8, doi:10.15672/hujms.779452.
Vancouver
1.Yutaka Shoukaku. Oscillation criteria of second order differential equations with positive and negative coefficients. Hacettepe Journal of Mathematics and Statistics. 2022 Aug. 1;51(4):970-8. doi:10.15672/hujms.779452

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