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Analytic solutions of an iterative functional equation

✍ Scribed by Wen Rong Li; Sui Sun Cheng

Publisher
Springer
Year
2004
Tongue
English
Weight
142 KB
Volume
68
Category
Article
ISSN
0001-9054

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This paper is concerned with an iterative functional differential equation x x r z = c 0 z + c 1 x z + c 2 x x z + β€’ β€’ β€’ + c m x m z , where r and m are nonnegative integers, x 0 z = z x 1 z = x z x 3 z = x x x z , etc. are the iterates of the function x z , and m j=0 c j = 0. By constructing a conv

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This paper is concerned with a second-order iterative functional differential equation x'(z) = (xm(z)) 2. Its analytic solutions are discussed by locally reducing the equation to another functional differential equation with proportional delays ~2y'(l.tz)y~(z) = i.Ly~(l.~z)y'(z) + [~It(Z)]3 [~([J, m