Oscillation criteria for a class of even-order neutral delay differential equations

被引：17
|
作者：
Moaaz, Osama [1 ]
Park, Choonkil [2 ]
Muhib, Ali [1 ,3 ]
Bazighifan, Omar [1 ,4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
[3] Ibb Univ, Fac Educ, Dept Math, Ibb, Yemen
[4] Hadhramout Univ, Fac Sci, Dept Math, Seiyun, Yemen
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2020年 / 63卷 / 1-2期
关键词：
Deviating argument; Even order; Neutral differential equation; Oscillation; BEHAVIOR;
D O I：
10.1007/s12190-020-01331-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the oscillatory behavior of the nth order neutral equation (a (t) theta((n-)1) (t) + (i =1)Sigma(k) qi (l) phi (u(gi(t)) = 0 l >= l(0,) where n, k are positive integers, n is even, n >= 2, p is the p-Laplace operator (constant), p > 1 and theta (t) := |vertical bar (t)vertical bar(p-2) u (t) + h (t) u (t (t)). New oscillation criteria are obtained by employing a refinement of the Riccati transformations, comparison principles and integral averaging technique. This new theorem complements and improves a number of results reported in the literature. One example is provided to illustrate the main results.
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页码：607 / 617
页数：11
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