The C1 Solutions of the Series-Like Iterative Equation with Variable Coefficients
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چکیده
where F is a given function, f is an unknown function, λi ∈ R i 1, 2, . . . , n , and f k 1, 2, . . . , n is the kth iterate of f, that is, f0 x x, f x f ◦ fk−1 x . The case of all constant λis was considered in 1–10 . In 2000, W. N. Zhang and J. A. Baker first discussed the continuous solutions of such an iterative equation with variable coefficients λi λi x which are all continuous in interval a, b . In 2001, J. G. Si and X. P. Wang furthermore gave the continuously differentiable solution of such equation in the same conditions as in 11 . In this paper, we continue the works of 11, 12 , and consider the series-like iterative equation with variable coefficients
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تاریخ انتشار 2009