| EXISTENCE OF NON-OSCILLATORY SOLUTIONS OF A CLASS OF HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH A FORCED TERM |
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| 引用本文： | Jia Ming Shen Jianhua ( Dept. of Math.,Hunan Normal University,Changsha 410081, Dept. of Base,South China University of Tropical Agriculture,Danzhou 571737). EXISTENCE OF NON-OSCILLATORY SOLUTIONS OF A CLASS OF HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH A FORCED TERM[J]. Annals of Differential Equations, 2006, 0(3) |
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| 作者姓名： | Jia Ming Shen Jianhua ( Dept. of Math. Hunan Normal University Changsha 410081 Dept. of Base South China University of Tropical Agriculture Danzhou 571737) |
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| 作者单位： | Dept. of Math.，Hunan Normal University，Changsha 410081; Dept. of Base，South China University of Tropical Agriculture，Danzhou 571737 |
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| 基金项目： | This work is supported by the KEY Project of Chinese Ministry of Education. |
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| 摘 要： | In this paper, we consider a certain forced higher-order nonlinear neutral difference equation. By using Krasnoselskii's fixed point theorem and some new techniques, we obtain necessary and sufficient conditions for the existence of non-oscillatory solutions for the system. Our results extend the results of Zhang [5].
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EXISTENCE OF NON-OSCILLATORY SOLUTIONS OF A CLASS OF HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH A FORCED TERM |
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| Jia Ming Shen Jianhua. EXISTENCE OF NON-OSCILLATORY SOLUTIONS OF A CLASS OF HIGHER-ORDER NONLINEAR NEUTRAL DIFFERENCE EQUATIONS WITH A FORCED TERM[J]. 微分方程年刊(英文版), 2006, 0(3) |
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| Authors: | Jia Ming Shen Jianhua |
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| Abstract: | In this paper, we consider a certain forced higher-order nonlinear neutral difference equation. By using Krasnoselskii's fixed point theorem and some new techniques, we obtain necessary and sufficient conditions for the existence of non-oscillatory solutions for the system. Our results extend the results of Zhang [5]. |
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| Keywords: | neutral difference equation non-oscillatory solutions Krasno-selskii's fixed point theorem |
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