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Vietnam Journal of Mathematics 34:2(2006) 163-170 |
On the Asymptotic Behavior of Solutions of a Nonlinear difference equation with bounded multiple delay |
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Dinh Cong Huong |
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Abstract. In this paper, we study the asymptotic behavior of solutions of a nonlinear difference equation with bounded multiple delay $$x_{n+1}=\lambda_n x_n + \sum_{i = 1}^r\alpha_i(n)F(x_{n-m_i}).$$ We give conditions implying that this equation has solutions which are oscillatory, bounded, convergence or periodic. |
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2000 Mathematics Subject Classification: 39A12. |
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Keywords: Nonlinear difference eqution, bounded multiple delay, asymptotic behaviour, oscillatory, boundedness, converging, periodicity. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |