On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2022-06-01 DOI:10.1051/wujns/2022273195

Jingjing Li, Z. Huang

引用次数: 0

Abstract

In this paper, we mainly investigate entire solutions of the following two non-linear differential-difference equations [see formula in PDF] and [see formula in PDF][see formula in PDF], where [see formula in PDF] is an integer, [see formula in PDF] are non-zero constants, [see formula in PDF] is a non-vanishing polynomial and [see formula in PDF] is a non-constant polynomial. Under some additional hypotheses, we analyze the existence and expressions of transcendental entire solutions of the above equations.

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关于两类非线性微分差分方程的整体解

本文主要研究以下两个非线性微分-差分方程[见PDF公式]和[见PDF公式][见PDF公式]的完整解，其中[见PDF公式]为整数，[见PDF公式]为非零常数，[见PDF公式]为非消失多项式，[见PDF公式]为非常多项式。在一些附加假设下，我们分析了上述方程的超越全解的存在性和表达式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.