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Vietnam Journal of Mathematics 36:2(2008) 151-160

On Oscillation, Convergence and Boundedness of Solutions of

Some Nonlinear Difference Equations with multiple Delay

Dinh Cong Huong and Phan Thanh Nam

Abstract. The oscillation, convergence and boundedness of the solutions of some nonlinear difference equations with multiple delay of the form

x_n+1 = G(x_n, x_n-m1, …, x_n-mr), n = 0, 1, …

are investigated, where m_i N₀, i = 1,…, r and G is a function mapping R^m+1 to R.

 2000 Mathematics Subject Classification: 39A12.

Keywords: Nonlinear difference equation, multiple delay, oscillation, convergence, boundedness, equilibrium.

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Published by Springer since January 2013