| 引用本文: | 王 伟,杨建辉,刘永清.广义非线性系统的极限值问题[J].控制理论与应用,2000,17(2):251~254.[点击复制] |
| WANG Wei,YANG Jian-hui,LIU Yong-qing.The External Problems of Nonlinear Singular Systems[J].Control Theory and Technology,2000,17(2):251~254.[点击复制] |
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| 广义非线性系统的极限值问题 |
| The External Problems of Nonlinear Singular Systems |
| 摘要点击 1871 全文点击 731 投稿时间：1999-01-31 修订日期：1999-12-03 |
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| DOI编号 10.7641/j.issn.1000-8152.2000.2.021 |
| 2000,17(2):251-254 |
| 中文关键词 单调迭代法 上下解方法 极限值问题 广义非线性系统 |
| 英文关键词 monotone iterative technique the method of upper and lower solutions the external problems nonlinear singular systems |
| 基金项目 广东省自然科学基金资助项目(974101). |
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| 中文摘要 |
| 应用单调迭代法和上下解的方法讨论了广义非线性系统的极限值问题, 给出了解存在性的构造性证明, 所构造的逼近序列是线性系统的解, 因此较易实现数值计算. 并且所得结果推广了非线性微分系统的结果. |
| 英文摘要 |
| In this paper,the external problems of nonlinear singular systems are discussed by using monotone iterative technique and the method of upper and lower solutions.We have proved the existence of external solutions to nonlinear singular systems in a constructive manner.Our sequences constructed are the solutions of linear systems,therefore it is easy to realize the numerical calculation. And it has extended to nonlinear differential systems. |