Locally Expansive Solutions for a Class of Iterative Equations
Iterative equations which can be expressed by the following form fnx=Hx,fx,f2x,…,fn−1x, where n≥2, are investigated. Conditions for the existence of locally expansive C1 solutions for such equations are given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/372681 |
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| _version_ | 1832551450257915904 |
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| author | Wei Song Sheng Chen |
| author_facet | Wei Song Sheng Chen |
| author_sort | Wei Song |
| collection | DOAJ |
| description | Iterative equations which can be expressed by the following form fnx=Hx,fx,f2x,…,fn−1x, where n≥2, are investigated. Conditions for the existence of locally expansive C1 solutions for such equations are given. |
| format | Article |
| id | doaj-art-32b739acebc741aa8fea8b7e130a4ead |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-32b739acebc741aa8fea8b7e130a4ead2025-02-03T06:01:19ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/372681372681Locally Expansive Solutions for a Class of Iterative EquationsWei Song0Sheng Chen1Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang 150001, ChinaIterative equations which can be expressed by the following form fnx=Hx,fx,f2x,…,fn−1x, where n≥2, are investigated. Conditions for the existence of locally expansive C1 solutions for such equations are given.http://dx.doi.org/10.1155/2013/372681 |
| spellingShingle | Wei Song Sheng Chen Locally Expansive Solutions for a Class of Iterative Equations The Scientific World Journal |
| title | Locally Expansive Solutions for a Class of Iterative Equations |
| title_full | Locally Expansive Solutions for a Class of Iterative Equations |
| title_fullStr | Locally Expansive Solutions for a Class of Iterative Equations |
| title_full_unstemmed | Locally Expansive Solutions for a Class of Iterative Equations |
| title_short | Locally Expansive Solutions for a Class of Iterative Equations |
| title_sort | locally expansive solutions for a class of iterative equations |
| url | http://dx.doi.org/10.1155/2013/372681 |
| work_keys_str_mv | AT weisong locallyexpansivesolutionsforaclassofiterativeequations AT shengchen locallyexpansivesolutionsforaclassofiterativeequations |