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
Analytic Solutions of a First Order Iterative Functional Differential Equation
β Scribed by Jing Liu
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 458 KB
- Volume
- 55
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
π 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 + 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
We study the existence of T -periodic solutions of some first order functional differential equations. Several existence criteria are established for our problems; in particular, we obtain conditions for the existence of multiple (even infinitely many) T -periodic solutions of one of the problems. E