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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| Main Author: | |
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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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