Oscillation of first order linear differential equations with several non-monotone delays

被引：6
|
作者：
Attia, E. R. [1 ]
Benekas, V. [2 ]
El-Morshedy, H. A. [1 ]
Stavroulakis, I. P. [2 ,3 ]
机构：
[1] Damietta Univ, Dept Math, Fac Sci, New Damietta 34517, Egypt
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
[3] Univ South Africa, Dept Math Sci, ZA-0003 Pretoria, South Africa
来源：
OPEN MATHEMATICS | 2018年 / 16卷
关键词：
Oscillation; Differential equations; Non-monotone delays; ARGUMENTS;
D O I：
10.1515/math-2018-0010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider the first-order linear differential equation with several retarded arguments chi'(t) + (n)Sigma(k-1) p(k)(t)chi(tau(k)(t)) = 0, t >= t0, where the functions p(k), tau(k) is an element of C([t(0),infinity), R+), tau(k)(t) < t for t >= t(0) and lim(t ->infinity) tau(k)(t) = infinity, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.
引用
收藏
页码：83 / 94
页数：12
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