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Year 2022, Volume: 51 Issue: 4, 970 - 980, 01.08.2022
https://doi.org/10.15672/hujms.779452

Abstract

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.
  • [9] N. Parhi, and S. Chand, Oscillation of second order neutral delay differential equations with positive and negative coefficients, J. Ind. Math. Soc. 66, 227–235, 1999.
  • [10] N. Parhi, and S. Chand, On second order neutral delay differential equations with positive and negative coefficients, Bull. Cal. Math. Soc. 94, 7–16, 2002.
  • [11] A. Weng, and J. Sun, Oscillation of second order delay differential equations, Appl. Math. Comput. 198, 930–935, 2007.

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

Year 2022, Volume: 51 Issue: 4, 970 - 980, 01.08.2022
https://doi.org/10.15672/hujms.779452

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].

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.
  • [9] N. Parhi, and S. Chand, Oscillation of second order neutral delay differential equations with positive and negative coefficients, J. Ind. Math. Soc. 66, 227–235, 1999.
  • [10] N. Parhi, and S. Chand, On second order neutral delay differential equations with positive and negative coefficients, Bull. Cal. Math. Soc. 94, 7–16, 2002.
  • [11] A. Weng, and J. Sun, Oscillation of second order delay differential equations, Appl. Math. Comput. 198, 930–935, 2007.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Yutaka Shoukaku 0000-0002-3608-8783

Publication Date August 1, 2022
Published in Issue Year 2022 Volume: 51 Issue: 4

Cite

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