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Holomorphic solutions of some functional equations related to nonlinear second order q-difference equations which has only one characteristic value
Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2020-10-02 , DOI: 10.1080/10236198.2020.1822351
Mami Suzuki 1
Affiliation  

Here we consider the following functional equation, where and are holomorphic functions in , , , and x is a function of t such that . If we have a solution of nonlinear second order difference equations, then we can write general solutions by making use of a solution Ψ. In this present paper, we will prove the existence of a solution of the above functional equation, after we will show a relationship between the above functional equation and nonlinear second order q-difference equations which has only one characteristic value.

中文翻译:

与只有一个特征值的非线性二阶q-差分方程相关的一些函数方程的全纯解

这里我们考虑以下函数方程,其中 和 是 、 、 中的全纯函数, x 是 t 的函数,使得 。如果我们有非线性二阶差分方程的解,那么我们可以利用解 Ψ 写出一般解。在本文中,我们将证明上述函数方程的解的存在性,之后我们将展示上述函数方程与只有一个特征值的非线性二阶q-差分方程之间的关系。
更新日期:2020-10-02
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