Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (4): 516-520.

Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay

Department of Science and Information, Shaoyang University

Received:2008-09-17 Online:2011-12-30 Published:2023-04-13
About author:YANG Jia-shan(1963-), male, native of Chengbu, Hunan, an associate professor of Shaoyang University, engages in differential and difference equation, dynamic system.
Supported by:
Supported by the Scientific Research Fund of Education Department of Hunan Province(07C680)；

Abstract

Abstract: In this paper, a class of second order nonlinear neutral difference equations with variable delays are studied. The criteria for existence of bounded eventually positive solution is obtained by using Banach contraction mapping principle and some necessary techniques. Moreover, some sufficient conditions for oscillation of the equations are given. Some results available in documents are extended in this paper. Illustrative examples are given.

Key words: neutral difference equation, nonlinear, eventually positive solution, oscillation

CLC Number:

O175.7

YANG Jia-shan, SUN Wen-bing. Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 516-520.

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Bounded Oscillation for Second-order Nonlinear Difference Equation with Variable Delay

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