Ir al contenido

Documat


Oscillation results for a certain class of fourth-order nonlinear delay differential equations

  • Moaaz, Osama [1] ; Cesarano, Clemente [2]
    1. [1] Mansoura University

      Mansoura University

      Egipto

    2. [2] Università Telematica Internazionale "Uninettuno"
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 2, 2021, págs. 505-523
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-2021-02-0029
  • Enlaces
  • Resumen
    • In this work, we study the oscillation of the fourth order neutral differential equations with delay argument. By means of generalized Riccati transformation technique, we obtain new oscillation criteria for oscillation of this equation. An example is given to clarify the main results in this paper.

  • Referencias bibliográficas
    • M. Bartušek, M. Cecchi, Z. Došlá, and M. Marini, “fourth-order differential equation with deviating argument”, Abstract and applied analysis,...
    • R. P. Agarwal, S. R. Grace, and D. O’Regan, Oscillation theory for difference and functional differential equations. Dordrecht: Springer,...
    • R. P. Agarwal, C. Zhang, and T. Li, “Some remarks on oscillation of second order neutral differential equations”, Applied mathematics and...
    • O. Bazighifan and C. Cesarano, “Some new oscillation criteria for second order neutral differential equations with delayed arguments”, Mathematics,...
    • G.E. Chatzarakis, J. Dzurina, and I. Jadlovska, “New oscillation criteria for second-order half-linear advanced differential equations”, Applied...
    • G. E. Chatzarakis and I. Jadlovsk, “Improved oscillation results for second-order half-linear delay differential equations”, Hacettepe journal...
    • C. Cesarano and O. Bazighifan, “Qualitative behavior of solutions of second order differential equations”, Symmetry, vol. 11, no. 6, pp. 777,...
    • S. R. Grace, J. Džurina, I. Jadlovská, and T. Li, “An improved approach for studying oscillation of second-order neutral delay differential...
    • S. R. Grace, J. R. Graef, and E. Tunç, “Oscillatory behavior of second order damped neutral differential equations with distributed deviating...
    • T. Li, Y. V. Rogovchenko, and C. Zhang, “Oscillation results for secondorder nonlinear neutral differential equations”, Advances in difference...
    • O. Moaaz and O. Bazighifan, “Oscillation criteria for second-order quasi-linear neutral functional differential equation”, Discrete &...
    • O. Moaaz, M. Anis, D. Baleanu, and A. Muhib, “More effective criteria for oscillation of second-order differential equations with neutral...
    • O. Moaaz, G.E. Chatzarakis, T. Abdeljawad, C. Cesarano, and A. Nabih, “Amended oscillation criteria for second-order neutral differential...
    • R. P. Agarwal, S.R. Grace, and J. V. Manojlovic, “Oscillation criteria for certain fourth order nonlinear functional differential equations”,...
    • O. Bazighifan, and C. Cesarano, “A philos-type oscillation criteria for fourth-order neutral differential equations”, Symmetry, vol. 12, no....
    • S. R. Grace, R. P. Agarwal, and J .R. Graef, “Oscillation theorems for fourth order functional differential equations”, Journal of applied...
    • J.R. Graef, S. R. Grace, and E. Tunç, “Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term”,...
    • T. Li, and Y. V. Rogovchenko, and C. Zhang, “Oscillation of fourth-order quasilinear differential equations”, Mathematica bohemica, vol. 140,...
    • T. Li, and Y. V. Rogovchenko, “Oscillation criteria for even-order neutral differential equations”, Applied mathematics letters, vol. 61,...
    • O. Bazighifan, F. Minhos, and O. Moaaz, “Sufficient conditions for oscillation of fourth-order neutral differential equations with distributed...
    • C. Cesarano, S. Pinelas, F. Al-Showaikh, and O. Bazighifan, “Asymptotic properties of solutions of fourth-order delay differential equations”,...
    • C. Cesarano, and O. Bazighifan, “Oscillation of fourth-order functional differential equations with distributed delay”, Axioms, vol. 8, no....
    • E. M. Elabbasy, C. Cesarano, O. Bazighifan, and O. Moaaz, “Asymptotic and oscillatory behavior of solutions of a class of higher order differential...
    • K. I. Kamo, and H. Usami, “Oscillation theorems for fourth order quasilinear ordinary differential equations”, Studia scientiarum mathematicarum...
    • O. Moaaz, C. Cesarano, and A. Muhib, “Some new oscillation results for fourth-order neutral differential equations”, European journal of pure...
    • O. Moaaz, I. Dassios, O. Bazighifan, and A. Muhib, “Oscillation theorems for nonlinear differential equations of fourth-order”, Mathematics,...
    • O. Moaaz and A. Muhib, “New oscillation criteria for nonlinear delay differential equations of fourth-order”, Applied mathematics and computation,...
    • O. Moaaz, J. Awrejcewicz, and O. Bazighifan, “A new approach in the study of oscillation criteria of even-order neutral differential equations”,...
    • C. Park, O. Moaaz, and O. Bazighifan, “Oscillation results for higher order differential equations”, Axioms, vol. 9, no. 1, Art ID. 14, 2020,...
    • F. Wu, “Existence of eventually positive solutions of fourth order quasilinear differential equations”, Journal of mathematical analysis and...
    • B. Baculiková and J. Džurina, “On the oscillation of odd order advanced differential equations”, Boundary value problems, vol. 2014, Art ID....
    • B. Baculiková and J. Džurina, “Oscillation of third-order nonlinear differential equations”, Applied mathematics letters, vol. 24, no. 4,...
    • B. Baculiková and J. Džurina, “Oscillation of third-order functional differential equations”, Electronic journal of qualitative theory of...
    • O. Moaaz, B. Qaraad, R. A. El-Nabulsi, and O. Bazighifan, “New results for kneser solutions of third-order nonlinear neutral differential...
    • O. Moaaz, “Oscillatory behavior of solutions of odd-order nonlinear delay differential equations”, Advances in difference equations, vol....
    • O. Moaaz, J. Awrejcewicz, and A. Muhib, “Establishing new criteria for oscillation of odd-order nonlinear differential equations”, Mathematics,...
    • I. T. Kiguradze, and T. A. Chanturia, Asymptotic properties of solutions of nonautonomous ordinary differential equations. Dordrecht: Kluwer,...
    • C. G. Philos, “Oscillation theorems for linear differential equations of second order”, Archiv der mathematik, vol. 53, pp. 482-492, 1989,...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno