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Vietnam Journal of Mathematics 37:4 (2009) 537-549 |
Oscillation for a Nonlinear Difference Equation |
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Dinh Cong Huong |
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Abstract. In this paper, some oscillatory results for nonlinear difference equations xn+1 = λn xn + ∑1r αi(n)F(xn-mi), n = 0, 1,... where mi, ∀ i =1,...,r are fixed positive integers, {λn}n is a sequence of positive real numbers and the function F is defined on the set of the real numbers are obtained. |
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2000 Mathematics Subject Classification: 39A12. |
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Keywords: Nonlinear difference equation, oscillation, nonoscillation. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |