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Convex solutions of the polynomial-like iterative equation with variable coefficients |
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| Authors: | Xiaobing Gong and Pingping Zhang |
| Institution: | College of Mathematics and Information Science, Neijiang Normal University, Dongtong Road, 641112 Neijiang, China and Department of Mathematics and Information Science, Binzhou University, Huanghe Five Road, 256603 Binzhou, China |
| Abstract: | In this paper, by applying the Schauder''s fixed point theorem we prove the existence of increasing and decreasing solutions of the polynomial-like iterative equation with variable coefficients and further completely investigate increasing convex (or concave) solutions and decreasing convex (or concave) solutions of this equation. The uniqueness and continuous dependence of those solutions are also discussed |
| Keywords: | Iteration functional equation convex (concave) solutions variable coefficients divided difference |
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