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| 具多时滞的二阶非线性差分方程解的振动性 | |
| 引用本文： | 杨俊仙,王雷宏. 具多时滞的二阶非线性差分方程解的振动性[J]. 数学的实践与认识, 2011, 41(16) |
| 作者姓名： | 杨俊仙 王雷宏 |
| 作者单位： | 1. 安徽农业大学理学院,安徽合肥,230036 2. 安徽农业大学林学与园林学院,安徽合肥,230036 |
| 基金项目： | 安徽省自然科学基金(10040606Q18); 安徽农业大学青年科学基金(2010zr11) |
| 摘 要： | 研究了一类具有多个时滞的二阶非线性差分方程,利用数学归纳法和Lebesgue控制收敛定理得出了其有界解振动的充分必要条件及其任一解与解的差分振动的充分条件,所得结果包含和推广了已有的结果. |
| 关 键 词： | 时滞 非线性 差分方程 振动性 |
Oscillation of Certain Second Order Nonlinear Difference Equations with Many Delays |
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| YANG Jun-xian,WANG Lei-hong. Oscillation of Certain Second Order Nonlinear Difference Equations with Many Delays[J]. Mathematics in Practice and Theory, 2011, 41(16) | |
| Authors: | YANG Jun-xian WANG Lei-hong |
| Affiliation: | YANG Jun-xian~1,WANG Lei-hong~2 (1.School of Natural Sciences,Anhui Agricultural University,Hefei 230036,China) (2.School of Forestry and Landscape Architecture,China) |
| Abstract: | Oscillation of certain second order nonlinear difference equations with many delays are studied,using mathematical induction and lebesgue deminated convergence theorem, necessary and sufficient conditions are obtained for oscillation of bounded solutions,and sufficient conditions are obtained for oscillation of any solution and its difference.Our results contain and extend the existing results in the literature. |
| Keywords: | delay nonlinear difference equations oscillation |
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