Zhenyu Guo, Min Liu
Abstract:
This article concerns the solvability of the higher-order
nonlinear neutral delay difference equation
where
,
are positive integers,
and
for
.
Sufficient conditions for the existence of non-oscillatory solutions
are established by using Krasnoselskii fixed point theorem.
Five theorems are stated according to the range of
the sequence
.
Submitted July 30, 2010. Published October 14, 2010.
Math Subject Classifications: 34K15, 34C10.
Key Words: Nonoscillatory solution; neutral difference equation;
Krasnoselskii fixed point theorem.
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Zhenyu Guo School of Sciences, Liaoning Shihua University Fushun, Liaoning 113001, China email: guozy@163.com | |
Min Liu School of Sciences, Liaoning Shihua University Fushun, Liaoning 113001, China email: min_liu@yeah.net |
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