Oscillation of nonlinear third-order differential equations with several sublinear neutral terms

Authors

  • Mohamed M. A. El-Sheikh Menoufia University
  • Ragaa Sallam Menoufia University
  • Shaimaa Salem Menoufia University

DOI:

https://doi.org/10.1515/ms-2021-0061

Keywords:

oscillation, third order differential equation, sublinear neutral term, nonoscillation

Abstract

A class of third order differential equations with several sublinear neutral terms of the type

(a(t) (b(t) (x(t) + ∑ j = 1 n pj(t) xαj ( τj(t) ) )' )' )' + ∑ j = 1 m fi(t, x(σi(t))) = 0, t ≥ t0 > 0

is considered. Some oscillation criteria are presented to improve and complement those in the literature. Two examples are established to illustrate the main results.

Author Biographies

  • Mohamed M. A. El-Sheikh, Menoufia University

    Department of Mathematics and Computer Science
    Faculty of Science
    Menoufia University
    EGYPT

  • Ragaa Sallam, Menoufia University

    Department of Mathematics and Computer Science
    Faculty of Science
    Menoufia University
    EGYPT

  • Shaimaa Salem, Menoufia University

    Department of Mathematics and Computer Science
    Faculty of Science
    Menoufia University
    EGYPT

Published

2021-12-10

Issue

Vol. 71 No. 6 (2021): Mathematica Slovaca

Section

Articles - Other topics