Smooth Solutions of a Class of Iterative Functional Differential Equations

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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Veröffentlicht in:Abstract and Applied Analysis 2012-01, Vol.2012 (1), p.1497-1509-786
1. Verfasser: Zhao, Houyu
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Existence theorems
Iterative methods
Studies
Theorems
Uniqueness
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Beschreibung
Zusammenfassung: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)).
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/954352