A Survey on the Oscillation of Differential Equations with Several Non-Monotone Arguments

Authors

G. M. Moremedi, Department of Mathematical Sciences, University of South Africa (UNISA), 0003 South AfricaFollow
I. P. Stavroulakis, Department of Mathematical Sciences, University of South Africa (UNISA), 0003 South Africa\\ Department of Mathematics, University of Ioannina, 451 10 Ioannina, HELLAS, GreeceFollow

Author Country (or Countries)

South Africa

Abstract

Consider the first-order linear differential equation with several retarded arguments x′ (t)+?mi =1 pi (t)x (ti (t)) = 0, t ≥ t0, where the functions pi, ti ∈ C 􀀀 [t0,¥) , R+ , for every i = 1,2, . . . ,m, ti (t) ≤ t for t ≥ t0 and limt→¥ti (t) = ¥. A survey of the most interesting oscillation conditions are presented. An example illustrating the results is given.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120517

Recommended Citation

M. Moremedi, G. and P. Stavroulakis, I. (2018) "A Survey on the Oscillation of Differential Equations with Several Non-Monotone Arguments," Applied Mathematics & Information Sciences: Vol. 12: Iss. 5, Article 17.
DOI: http://dx.doi.org/10.18576/amis/120517
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss5/17