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Oscillation and nonoscillation for Nonlinear neutral difference equations with continuous arguments
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Oscillation and nonoscillation for Nonlinear neutral difference equations with continuous arguments

X Y Li, D M Zhu, Y Zhou and G Y Deng
International journal of nonlinear sciences and numerical simulation, Vol.3(2), pp.153-160
01/01/2002

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
In this paper we consider a kind of nonlinear neutral difference equations with continuous arguments. First, we obtain some sufficient conditions for the oscillation. When the coefficients in the equations are constants, these conditions are also necessary. Secondly, we derive a necessary and sufficient condition for the nonoscillation. Finally, we give a sufficient condition for the asymptotic behavior of the nonoscillatory solutions.

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