Oscillations of differential equations with several non-monotone advanced arguments

被引：6
|
作者：
Chatzarakis, G. E. [1 ]
Ocalan, Ozkan [2 ]
机构：
[1] ASPETE, Sch Pedag & Technol Educ, Dept Elect & Elect Engn Educators, Athens 14121, Greece
[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, ANS Campus, TR-03200 Afyon, Turkey
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2015年 / 30卷 / 03期
关键词：
differential equation; non-monotone argument; advanced argument; oscillatory solutions; non-oscillatory solutions; NONOSCILLATION; COEFFICIENTS; DELAY;
D O I：
10.1080/14689367.2015.1036007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Consider the first-order advanced differential equation of the form x'(t) - Sigma(m)(i=1) q(i)(t)x (sigma(i)(t)) = 0, t >= t(0), where q(i), 1 <= i <= m are functions of non- negative real numbers, and sigma(i), 1 <= i <= m are functions of positive real numbers such that sigma(i)(t) > t for t >= t(0). New oscillation criteria, involving lim sup and lim inf, are established, in the case of non-monotone advanced arguments. An example illustrating the results is also given.
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页码：310 / 323
页数：14
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