Ir al contenido

Documat

Oscillation and Asymptotic Behavior of the Third-Order Neutral Differential Equation with Damping and Distributed Deviating Arguments

  • Yibing Sun [1] ; Yige Zhao [1] ; Qiangqiang Xie [2]
    1. [1] University of Jinan

      University of Jinan

      China

    2. [2] Inspur Software Technology Co.
  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 2, 2023
  • Idioma: inglés
  • Enlaces
  • Resumen

    • This article focuses on the oscillation and asymptotic behavior of the third-order neutral differential equation with damping and distributed deviating arguments. Some new sufficient conditions for the discussed equation are established by using a generalized Riccati transformation, which extend and improve several known results in the literature. Finally, two examples are given to illustrate the obtained results.

  • Referencias bibliográficas
    • 1. Agarwal, R.P., Bohner, M., Li, T.X., Zhang, C.H.: Oscillation of third-order nonlinear delay differential equations. Taiwan. J. Math. 17(2),...
    • 2. Agarwal, R.P., Bohner, M., Li, T.X., Zhang, C.H.: A Philos-type theorem for third-order nonlinear retarded dynamic equations. Appl. Math....
    • 3. Baculíková, B., Džurina, J.: Oscillation and Property B for third-order differential equations with advanced arguments. Electron. J. Differ....
    • 4. Baculíková, B., Džurina, J.: Oscillation of third-order neutral differential equations. Math. Comput. Model. 52(1–2), 215–226 (2010)
    • 5. Bartušek, M., Došlá, Z.: Oscillation of third order differential equation with damping term. Czech. Math. J. 65(2), 301–316 (2015)
    • 6. Bohner, M., Grace, S.R., Sa ˇger, I., Tunç, E.: Oscillation of third-order nonlinear damped delay differential equations. Appl. Math. Comput....
    • 7. Bohner, M., Graef, J.R., Jadlovská, I.: Asymptotic properties of Kneser solutions to third-order delay differential equations. J. Appl....
    • 8. Candan, T.: Oscillatory behavior of second order nonlinear neutral differential equations with distributed deviating arguments. Appl. Math....
    • 9. Cesarano, C., Moaaz, O., Qaraad, B., Alshehri, N.A., Elagan, S.K., Zakarya, M.: New results for oscillation of solutions of odd-order neutral...
    • 10. Chatzarakis, G.E., Grace, S.R., Jadlovská, I., Li, T.X., Tunç, E.: Oscillation criteria for third-order Emden-Fowler differential equations...
    • 11. Došlá, Z., Liška, P.: Oscillation of third-order nonlinear neutral differential equations. Appl. Math. Lett. 56, 42–48 (2016)
    • 12. Elabbasy, E.M., Qaraad, B., Abdeljawad, T., Moaaz, O.: Oscillation criteria for a class of third-order damped neutral differential equations....
    • 13. Elayaraja, R., Ganesan, V., Bazighifan, O., Cesarano, C.: Oscillation and asymptotic properties of differential equations of third-order....
    • 14. Feng, L.M., Han, Z.L.: Oscillation of a class of third-order neutral differential equations with noncanonical operators. Bull. Malays....
    • 15. Feng, L.M., Sun, S.R.: Oscillation of second-order Emden-Fowler neutral differential equations with advanced and delay arguments. Bull....
    • 16. Fu, X.L., Li, T.X., Zhang, C.H.: Oscillation of second-order damped differential equations. Adv. Differ. Equ. 326, 1–11 (2013)
    • 17. Fu, Y.L., Tian, Y.Z., Jiang, C.M., Li, T.X.: On the asymptotic properties of nonlinear third-order neutral delay differential equations...
    • 18. Grace, S.R.: Oscillation criteria for third-order nonlinear delay differential equations with damping. Opusc. Math. 35(4), 485–497 (2015)
    • 19. Grace, S.R., Graef, J.R., Tunç, E.: Oscillatory behavior of a third-order neutral dynamic equation with distributed delays. Electron....
    • 20. Grace, S.R., Graef, J.R., Tunç, E.: On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term....
    • 21. Grace, S.R., Jadlovská, I., Tunç, E.: Oscillatory and asymptotic behavior of third-order nonlinear differential equations with a superlinear...
    • 22. Graef, J.R., Grace, S.R., Tunç, E.: Oscillation criteria for even-order differential equations with unbounded neutral coefficients and...
    • 23. Graef, J.R., Jadlovská, I., Tunç, E.: Oscillation of odd-order differential equations with a nonpositive sublinear nuetral term and distributed...
    • 24. Graef, J.R., Özdemir, O., Kaymaz, A., Tunç, E.: Oscillation of damped second-order linear mixed neutral differential equations. Monatsh....
    • 25. Graef, J.R., Thandapani, E., Tunç, E.: New oscillation criteria for third-order neutral differential equations with distributed deviating...
    • 26. Hale, J.: Theory of Functional Differential Equations. Springer-Verlag, New York (1977)
    • 27. Hassan, T.S., Agarwal, R.P., Mohammed, W.W.: Oscillation criteria for third-order functional halflinear dynamic equations. Adv. Differ....
    • 28. Jadlovská, I., Chatzarakis, G.E., Džurina, J., Grace, S.R.: On sharp oscillation criteria for general third-order delay differential equations....
    • 29. Jiang, C.M., Jiang, Y., Li, T.X.: Asymptotic behavior of third-order differential equations with nonpositive neutral coefficients and...
    • 30. Jiang, Y., Jiang, C.M., Li, T.X.: Oscillatory behavior of third-order nonlinear neutral delay differential equations. Adv. Differ. Equ....
    • 31. Jiang, Y., Li, T.X.: Asymptotic behavior of a third-order nonlinear neutral delay differential equation. J. Inequal. Appl. 512, 1–7 (2014)
    • 32. Li, T.X., Rogovchenko, Y.V.: Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations. Monatsh. für...
    • 33. Li, T.X., Rogovchenko, Y.V.: On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations....
    • 34. Li, W.J., Yu, Y.H.: Oscillatory behavior of third-order nonlinear differential equations with a sublinear neutral term. Acta Math. Appl....
    • 35. Muhib, A., Dassios, I., Baleanu, D., Santra, S.S., Moaaz, O.: Odd-order differential equations with deviating arguments: asymptomatic...
    • 36. Qaraad, B., Moaaz, O., Baleanu, D., Santra, S.S., Ali, R., Elabbasy, E.M.: Third-order neutral differential equations of the mixed type:...
    • 37. Sallam, R.A., Salem, S., El-Sheikh, M.M.A.: Oscillation of solutions of third order nonlinear neutral differential equations. Adv. Differ....
    • 38. ¸Senel, M.T., Utku, N.: Oscillation of third-order quasilinear neutral dynamic equations on time scales with distributed deviating arguments....
    • 39. Sui, Y., Han, Z.L.: Oscillation of third-order nonlinear delay dynamic equation with damping term on time scales. J. Appl. Math. Comput....
    • 40. Sun, Y.B., Zhao, Y.G.: Oscillation and asymptotic behavior of third-order nonlinear neutral delay differential equations with distributed...
    • 41. Sun, Y.B., Zhao, Y.G.: Oscillatory behavior of third-order neutral delay differential equations with distributed deviating arguments....
    • 42. Sun, Y.B., Zhao, Y.G.: Oscillatory and asymptotic behavior of third-order neutral delay differential equations with distributed deviating...
    • 43. Sun, Y.B., Zhao, Y.G.: Oscillation criteria for third-order nonlinear neutral differential equations with distributed deviating arguments....
    • 44. Sun, Y.B., Zhao, Y.G., Xie, Q.Q.: Oscillation criteria for third-order neutral differential equations with unbounded neutral coefficients...
    • 45. Themairi, A.A., Qaraad, B., Bazighifan, O., Nonlaopon, K.: Third-order neutral differential equations with damping and distributed delay:...
    • 46. Tian, Y.Z., Cai, Y.L., Fu, Y.L., Li, T.X.: Oscillation and asymptotic behavior of third-order neutral differential equations with distributed...
    • 47. Tunç, E.: Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments. Electron....
    • 48. Tunç, E., Grace, S.R.: Oscillatory behavior of solutions to third-order nonlinear differential equations with a superlinear neutral term....
    • 49. Wei, M.H., Jiang, C.M., Li, T.X.: Oscillation of third-order neutral differential equations with damping and distributed delay. Adv. Differ....
    • 50. Wei, M.H., Zhang, M.L., Liu, X.L., Yu, Y.H.: Oscillation criteria for a class of third order neutral distributed delay differential equations...
    • 51. Xiang, H.F.: Oscillation of third-order nonlinear neutral differential equations with distributed time delay. Ital. J. Pure Appl. Math....
    • 52. Zhang, Q.X., Gao, L., Yu, Y.H.: Oscillation criteria for third-order neutral differential equations with continuously distributed delay....
Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno