Holomorphic solutions of a functional equation and their applications to nonlinear second order difference equations

被引：1

作者：

Suzuki M. ^{[1
]}

机构：

[1] Department of Mathematics and Science, College of Liberal Arts, J. F. Oberlin University, Machida-City, Tokyo, 194-0294

来源：

Aequationes mathematicae | 2007年 / 74卷 / 1-2期

关键词：

Analytic solutions; Iterative functional equation; Nonlinear difference equations;

D O I：

10.1007/s00010-007-2878-6

中图分类号：

学科分类号：

摘要：

Here we consider the functional equation ψ(X(x, ψ(x))) = Y(x, ψ(x)), in which X(x, y) and Y (x, y) are holomorphic functions of (x, y) ∈ ℂ in a neighborhood of (0, 0), and further we will apply it for obtaining general solutions of some nonlinear difference equations. © 2007 Birkhäuser Verlag, Basel.

引用

页码：7 / 25

页数：18

共 10 条

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