Smooth Solutions of a Class of Iterative Functional Differential Equations
By Faà di Bruno’s formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t)=1/(c0x[0](t)+c1x[1](t)+⋯+cmx[m](t)).
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/954352 |
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| _version_ | 1832562561594163200 |
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| author | Houyu Zhao |
| author_facet | Houyu Zhao |
| author_sort | Houyu Zhao |
| collection | DOAJ |
| description | By Faà di Bruno’s formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t)=1/(c0x[0](t)+c1x[1](t)+⋯+cmx[m](t)). |
| format | Article |
| id | doaj-art-c2e39ebe2cae4ef1975da3d82f19822e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c2e39ebe2cae4ef1975da3d82f19822e2025-02-03T01:22:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/954352954352Smooth Solutions of a Class of Iterative Functional Differential EquationsHouyu Zhao0School of Mathematics, Chongqing Normal University, Chongqing 401331, ChinaBy Faà di Bruno’s formula, using the fixed-point theorems of Schauder and Banach, we study the existence and uniqueness of smooth solutions of an iterative functional differential equation x′(t)=1/(c0x[0](t)+c1x[1](t)+⋯+cmx[m](t)).http://dx.doi.org/10.1155/2012/954352 |
| spellingShingle | Houyu Zhao Smooth Solutions of a Class of Iterative Functional Differential Equations Abstract and Applied Analysis |
| title | Smooth Solutions of a Class of Iterative Functional Differential Equations |
| title_full | Smooth Solutions of a Class of Iterative Functional Differential Equations |
| title_fullStr | Smooth Solutions of a Class of Iterative Functional Differential Equations |
| title_full_unstemmed | Smooth Solutions of a Class of Iterative Functional Differential Equations |
| title_short | Smooth Solutions of a Class of Iterative Functional Differential Equations |
| title_sort | smooth solutions of a class of iterative functional differential equations |
| url | http://dx.doi.org/10.1155/2012/954352 |
| work_keys_str_mv | AT houyuzhao smoothsolutionsofaclassofiterativefunctionaldifferentialequations |