Affiliation:
1. Technical University of Kosice
Abstract
In this paper, we offer new technique for investigation of the even order linear differential equations of the form
(
E
)
y
(
n
)
(
t
)
=
p
(
t
)
y
(
τ
(
t
)
)
.
We establish new criteria for bounded and unbounded oscillation of
(
E
)
which improve a number of related ones in the literature. Our approach essentially involves establishing stronger monotonicities for the positive solutions of
(
E
)
than those presented in known works. We illustrate the improvement over known results by applying and comparing our technique with the other known methods on the particular examples.
Cited by
3 articles.
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