TY - JOUR
T1 - New Oscillation Criteria for Third-Order Half-Linear Advanced Differential Equations
AU - Yao , Jianli
AU - Zhang , Xiaoping
AU - Yu , Jiangbo
JO - Annals of Applied Mathematics
VL - 3
SP - 309
EP - 330
PY - 2021
DA - 2021/01
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18595.html
KW - third-order differential equation, advanced argument, oscillation, asymptotic behavior, noncanonical operators.
AB - <p style="text-align: justify; margin-bottom: 25px;">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<br/><br/>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;$(r_2(t)((r_1(t)(y′(t))^α)′)^β)′
+ q(t)y^γ(σ(t)) = 0$,&nbsp; &nbsp; $t ≥ t_0 &gt; 0,$<br/><br/>where $∫^∞ r_1^{-\frac{1}{α}}(s)ds &lt; ∞$ and $∫^∞r_2^{-\frac{1}{β}}(s)ds &lt; ∞$. The criteria in this paper
improve and complement some existing ones. The results are illustrated by
two Euler-type differential equations.</p>