| 一阶非线性时滞差分方程的线性化振动定理 |
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| 引用本文： | 赵香兰,陈慧琴. 一阶非线性时滞差分方程的线性化振动定理[J]. 山西大同大学学报(自然科学版), 2012, 28(1): 7-8 |
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| 作者姓名： | 赵香兰 陈慧琴 |
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| 作者单位： | 山西大同大学数学与计算机科学学院,山西大同,037009 |
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| 基金项目： | 山西省高科技项目，山西省国际合作项目 |
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| 摘 要： | 文中讨论一类非线性中立型时滞差分方程,证明了在一定条件下,若与此方程相关的一个线性差分方程的每个解振动,则该非线性差分方程的每个解也振动。
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| 关 键 词： | 中立型时滞差分方程 线性化 振动性 |
Linearized Oscillation Theorems for First Nonlinear Neutral Delay Difference Equations |
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| ZHAO Xiang-lan , CHEN Hui-qin. Linearized Oscillation Theorems for First Nonlinear Neutral Delay Difference Equations[J]. Journal of Shanxi Datong University, 2012, 28(1): 7-8 |
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| Authors: | ZHAO Xiang-lan CHEN Hui-qin |
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| Affiliation: | (School of Mathematics and Computer Science,Shanxi Datong University,Datong Shanxi,037009) |
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| Abstract: | In this paper,a class of nonlinear neutral delay difference equations is considered.It is proved that under appropriate hypotheses every solution of the nonlinear difference equation oscillates if the same is true for a linear difference equation associated with this nonlinear difference equation. |
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| Keywords: | neutral delay difference equation linearization oscillation |
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