Abstract
AbstractIn this paper, we present a single-condition sharp criterion for the oscillation of the fourth-order linear delay differential equation $$ x^{(4)}(t) + p(t)x\bigl(\tau (t)\bigr) = 0 $$
x
(
4
)
(
t
)
+
p
(
t
)
x
(
τ
(
t
)
)
=
0
by employing a novel method of iteratively improved monotonicity properties of nonoscillatory solutions. The result obtained improves a large number of existing ones in the literature.
Funder
Agentúra na Podporu Výskumu a Vývoja
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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