Basak Karpuz, Laxmi Narayan Padhy, Radhanath Rath
Abstract:
In this paper, we obtain necessary and sufficient conditions so
that every solution of
oscillates or tends to zero as
, where
is
an integer
,
,
.
Both bounded and unbounded solutions are considered in this paper.
The results hold also when
,
,
and
.
This paper extends and generalizes some recent results.
Submitted April 4, 2008. Published August 20, 2008.
Math Subject Classifications: 34C10, 34C15, 34K40.
Key Words: Oscillatory solution; neutral differential equation;
asymptotic behaviour.
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Basak Karpuz Department of Mathematics, Facaulty of Science and arts, A.N.S. Campus, Afyon Kocatepe University, 03200 Afyonkarahisar, Turkey email: bkarpuz@gmail.com |
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Laxmi Narayan Padhy Department of Computer Science and Engineering, K.I.S.T, Bhubaneswar Orissa, India email: ln_padhy_2006@yahoo.co.in |
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Radhanath Rath Department of Mathematics, Khallikote Autonomous College Berhampur, 760001 Orissa, India email: radhanathmath@yahoo.co.in |
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