Abstract
AbstractIn this work, we study the oscillatory behavior of even-order neutral delay differential equations $\upsilon ^{n}(l)+b(l)u(\eta (l))=0$
υ
n
(
l
)
+
b
(
l
)
u
(
η
(
l
)
)
=
0
, where $l\geq l_{0}$
l
≥
l
0
, $n\geq 4$
n
≥
4
is an even integer and $\upsilon =u+a ( u\circ \mu ) $
υ
=
u
+
a
(
u
∘
μ
)
. By deducing a new iterative relationship between the solution and the corresponding function, new oscillation criteria are established that improve those reported in (T. Li, Yu.V. Rogovchenko in Appl. Math. Lett. 61:35–41, 2016).
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference28 articles.
1. Li, T., Rogovchenko, Yu.V.: Oscillation criteria for even-order neutral differential equations. Appl. Math. Lett. 61, 35–41 (2016)
2. Gyori, I., Ladas, G.: Oscillation Theory of Delay Differential Equations with Applications. Clarendon Press, Oxford (1991)
3. Hale, J.K.: Functional Differential Equations, in Analytic Theory of Differential Equations. Springer, Berlin (1971)
4. Li, T., Pintus, N., Viglialoro, G.: Properties of solutions to porous medium problems with different sources and boundary conditions. Z. Angew. Math. Phys. 70(3), Art. 86, 1–18 (2019)
5. Bohner, M., Grace, S.R., Jadlovská, I.: Oscillation criteria for second-order neutral delay differential equations. Electron. J. Qual. Theory Differ. Equ. 2017, 60, 1–12 (2017)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献