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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 |
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Dinh Cong Huong and Phan Thanh Nam |
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Abstract. The oscillation, convergence and boundedness of the solutions of some nonlinear difference equations with multiple delay of the form $$x_{n+1}= G(x_n, x_{n-m_1}, \ldots, x_{n-m_r}), \quad n = 0, 1, \ldots$$ are investigated, where $m_i \in \mathbb{N}_0, \forall i = 1,\ldots,r$ and $G$ is a function mapping $\mathbb R^{m+1}$ to $\mathbb R$. |
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2000 Mathematics Subject Classification: 39A12. |
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Keywords: Nonlinear difference equation, multiple delay, oscillation, convergence, boundedness, equilibrium. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |