CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS

Xiaobing Gong; Pingping Zhang

doi:10.11948/2016024

2016 Volume 6 Issue 2

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Xiaobing Gong, Pingping Zhang. CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 306-321. doi: 10.11948/2016024

Citation:

Xiaobing Gong, Pingping Zhang. CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS[J]. Journal of Applied Analysis & Computation, 2016, 6(2): 306-321. doi: 10.11948/2016024

CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS

1 College of Mathematics and Information Science, Neijiang Normal University, Dongtong Road, 641112 Neijiang, China;
2 Department of Mathematics and Information Science, Binzhou University, Huanghe Five Road, 256603 Binzhou, China

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Abstract

Abstract

In this paper, by applying the Schauder's fixed point theorem we prove the existence of increasing and decreasing solutions of the polynomiallike 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.
- Iteration /
- functional equation /
- convex(concave)solutions /
- variable coefficients /
- divided difference
MSC: 39B12;58F08

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References

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