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Analytic solutions of an iterative functional differential equation

โœ Scribed by Jian-Guo Si; Wen-Rong Li; Sui Sun Cheng

Book ID
108458681
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
325 KB
Volume
33
Category
Article
ISSN
0898-1221

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๐Ÿ“œ SIMILAR VOLUMES

Analytic Solutions of an Iterative Funct
Analytic Solutions of an Iterative Functional Differential Equation
โœ Xin-Ping Wang; Jian-Guo Si ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

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 + โ€ข โ€ข โ€ข + 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

Analytic solutions of a second-order ite
Analytic solutions of a second-order iterative functional differential equation
โœ Jian-Guo Si; Xin-Ping Wang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 352 KB

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