| 根的存在定理的推广及其应用 |
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| 引用本文： | 陈慧琴,赵香兰,陈富,冯文英. 根的存在定理的推广及其应用[J]. 上海师范大学学报(自然科学版), 2021, 50(3): 337-342 |
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| 作者姓名： | 陈慧琴 赵香兰 陈富 冯文英 |
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| 作者单位： | 山西大同大学数学与统计科学学院,山西大同037009;特伦特大学数学系,披斯堡K9J 0G2安大略省,加拿大 |
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| 基金项目： | The National Natural Science Foundation of China (11871314, 61803241); Natural Science Foundation of Shanxi Province (201801D121001, 201901D111314); Natural Sciences and Engineering Research Council of Canada; Natural Science Foundation of Datong City (2018146, 2019153, 2020147); Scientific Research Project of Shanxi Datong University (2018K4) |
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| 摘 要： | 众所周知,在《数学分析》中会遇到连续函数的一个重要定理,即根的存在定理,此定理对方程根的存在性判别起着重要作用.将这方面已有的定理进行推广,并用例题说明其应用情况.
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| 关 键 词： | 连续函数 零点 根的存在定理 |
| 收稿时间： | 2020-11-06 |
Generalization of existence theorems of root and its application |
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| CHEN Huiqin,ZHAO Xianglan,CHEN Fu,FENG Wenying. Generalization of existence theorems of root and its application[J]. Journal of Shanghai Normal University(Natural Sciences), 2021, 50(3): 337-342 |
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| Authors: | CHEN Huiqin ZHAO Xianglan CHEN Fu FENG Wenying |
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| Affiliation: | School of Mathematics and Statistics, Shanxi Datong University, Datong 037009, Shanxi, China; Department of Mathematics, Trent University, Peterborough K9J 0G2, ON, Canada |
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| Abstract: | It is well known that the existence of roots theorem for continuous functions not only is important in Mathematical Analysis, but also has wide applications. In this paper, we generalize the existing theorems in this area to compounded functions. Application of the obtained results is also shown by examples. |
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| Keywords: | continuous function zero point existence theorem of root |
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