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] 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] 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] 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] 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] 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] 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] 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] 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
Authors
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