New oscillation criteria for second-order half-linear advanced differential equations

被引：74
作者：
Chatzarakis, G. E. [1 ]
Dzurina, J. [2 ]
Jadlovska, I [2 ]
机构：
[1] Educators Sch Pedag & Technol Educ ASPETE, Dept Elect & Elect Engn, 14121 N Heraklio, Athens, Greece
[2] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Math & Theoret Informat, Letna 9, Kosice 04200, Slovakia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷
关键词：
Second-order differential equation; Advanced argument; Oscillation; Asymptotic properties; Noncanonical operators;
D O I：
10.1016/j.amc.2018.10.091
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is to offer sufficient conditions for the oscillation and asymptotic behavior of all solutions of second-order half-linear differential equations with advanced argument of the form (r(y')(alpha))' (t) + q(t)y(alpha) (sigma(t)) = 0, when integral(infinity) r(-1/alpha) (s) ds < infinity. Our criteria substantially improve, simplify and complement a number of existing ones. The results obtained are illustrated by an example on the Euler type equations. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：404 / 416
页数：13
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