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Analytic Solutions of a Functional Equation for Invariant Curves

✍ Scribed by Jianguo Si; Weinian Zhang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
91 KB
Volume
259
Category
Article
ISSN
0022-247X

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✦ Synopsis

An iterative functional equation is deduced by C. T. Ng and W. Zhang 1997, J. . Differ. Equations Appl. 3, 147᎐168 from the problem of invariant curves. In this paper, its analytic solutions are discussed by locally reducing the equation to another functional equation without iteration and by constructing solutions in uniformly convergent power series for the latter equation.

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