在section方法中扩展域

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2025-07-07 DOI:10.1007/s00010-025-01188-z

Dan M. Dăianu

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引用次数: 0

摘要

我们用一种新的简单而通用的方法完成了剖面法，用于求解一些以复合函数为解的方程，并研究了它们的Ulam稳定性及其超稳定性。我们举例说明了在相关实域上求解$$\begin{aligned} f\left( \arccos \left| \cos u\cdot \cos v\right| \right) =f\left( u\right) +f\left( v\right) \end{aligned}$$形式方程所得到的结果的延展性，并给出了这些方程的Ulam稳定对和诱导这些方程超稳定的控制函数。

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Extending domains in the section method

We complete the section method with new simple and versatile techniques to solve some equations that have composite functions as solutions and to study Ulam stability and their hyperstability. We exemplify the malleability of the results obtained by solving equations of the form

$$\begin{aligned} f\left( \arccos \left| \cos u\cdot \cos v\right| \right) =f\left( u\right) +f\left( v\right) \end{aligned}$$

on relevant real domains, then giving Ulam stability couples and control functions that induce hyperstability for these equations.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.