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