Existence of analytic solutions of an iterative functional equation
โ Scribed by Lingxia Liu
- Book ID
- 108052017
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 265 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0096-3003
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๐ SIMILAR VOLUMES
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 + โข โข โข + 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
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