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Analytic solutions of a second-order iterative functional differential equation

✍ Scribed by Jian-Guo Si; Xin-Ping Wang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
352 KB
Volume
43
Category
Article
ISSN
0898-1221

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✦ Synopsis

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, mZ)] 2 and by constructing a convergent power series solutions for the latter equation.

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