Entire solutions of a class of binomial differential equations

IF 0.5 4区数学 Q3 MATHEMATICS

Lithuanian Mathematical Journal Pub Date : 2024-05-07 DOI:10.1007/s10986-024-09632-4

Zhuo Wang, Qingcai Zhang

引用次数: 0

Abstract

In this paper, we answer the questions posed by Gundersen and Yang about the entire solutions of a class of nonlinear homogeneous binomial differential equations and obtain explicit forms of all the entire solutions of this type of differential equations. Moreover, we provide some examples to demonstrate that the equation solutions we obtained are accurate.

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一类二项式微分方程的全解

在本文中，我们回答了 Gundersen 和 Yang 提出的关于一类非线性同质二项式微分方程全解的问题，并得到了这类微分方程所有全解的显式。此外，我们还提供了一些例子来证明我们得到的方程解是准确的。

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

Lithuanian Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Lithuanian Mathematical Journal publishes high-quality original papers mainly in pure mathematics. This multidisciplinary quarterly provides mathematicians and researchers in other areas of science with a peer-reviewed forum for the exchange of vital ideas in the field of mathematics. The scope of the journal includes but is not limited to: Probability theory and statistics; Differential equations (theory and numerical methods); Number theory; Financial and actuarial mathematics, econometrics.