Oscillation theorems for second-order nonlinear delay differential equations of neutral type

被引：17
|
作者：
Karpuz, Basak [1 ]
Santra, Shyam S. [2 ]
机构：
[1] Dokuz Eylul Univ, Fac Sci, Dept Math, Tinaztepe Campus, TR-35160 Izmir, Turkey
[2] Sambalpur Univ, Dept Math, Sambalpur 768019, India
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2019年 / 48卷 / 03期
关键词：
Oscillation; nonoscillation; nonlinear; delay argument; second-order neutral differential equation; EXISTENCE;
D O I：
10.15672/HJMS.2017.542
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, new sufficient conditions are obtained for oscillation of second-order neutral delay differential equations of the form d/dt [r(t)d/dt[x(t) + p(t)x(tau(t))]] + q(t)G(x(sigma(t))) = 0 for t >= t(0), under the assumptions integral(infinity)1/r(eta)d eta = infinity and integral(infinity) 1/r(eta)d eta < infinity for various ranges of the bounded neutral coefficient p. Unlike most of the previous results, T' is allowed to be oscillatory. Further, some illustrative examples showing applicability of the new results are included.
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页码：633 / 643
页数：11
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