Year: 2020
Author: Jianli Yao, Xiaoping Zhang, Jiangbo Yu
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 309–330
Abstract
The theme of this article is to provide some sufficient conditions for the
asymptotic property and oscillation of all solutions of third-order half-linear
differential equations with advanced argument of the form
$(r_2(t)((r_1(t)(y′(t))^α)′)^β)′
+ q(t)y^γ(σ(t)) = 0$, $t ≥ t_0 > 0,$
where $∫^∞ r_1^{-\frac{1}{α}}(s)ds < ∞$ and $∫^∞r_2^{-\frac{1}{β}}(s)ds < ∞$. The criteria in this paper
improve and complement some existing ones. The results are illustrated by
two Euler-type differential equations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18595
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 3 : pp. 309–330
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: third-order differential equation advanced argument oscillation asymptotic behavior noncanonical operators.