中性规范空间中函数方程的新型稳定性分析

IF 1.7 4区 数学 Q1 Mathematics
Ahmad Aloqaily, P. Agilan, K. Julietraja, S. Annadurai, Nabil Mlaiki
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引用次数: 0

摘要

由于涉及固有的不确定性和复杂性,在中性规范空间内分析函数方程(FE)的稳定性是一项重大挑战。本文提出了一种新颖的方法来应对这一挑战,为研究这种情况下的稳定性特性提供了一个全面的框架。中性规范空间是对传统规范空间的概括,其中包含中性逻辑。通过为解决中性规范空间中的稳定性问题提供系统方法,我们的方法有助于增强对以不确定性和不确定性为特征的复杂系统的理解和控制。本研究的主要重点是提出一类新的欧拉-拉格朗日加法 FE,并研究其在中性规范空间中的 Ulam-Hyers 稳定性。研究利用直接技术和定点技术来实现所需的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A novel stability analysis of functional equation in neutrosophic normed spaces
The analysis of stability in functional equations (FEs) within neutrosophic normed spaces is a significant challenge due to the inherent uncertainties and complexities involved. This paper proposes a novel approach to address this challenge, offering a comprehensive framework for investigating stability properties in such contexts. Neutrosophic normed spaces are a generalization of traditional normed spaces that incorporate neutrosophic logic. By providing a systematic methodology for addressing stability concerns in neutrosophic normed spaces, our approach facilitates enhanced understanding and control of complex systems characterized by indeterminacy and uncertainty. The primary focus of this research is to propose a novel class of Euler-Lagrange additive FE and investigate its Ulam-Hyers stability in neutrosophic normed spaces. Direct and fixed point techniques are utilized to achieve the required results.
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来源期刊
Boundary Value Problems
Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.00
自引率
5.90%
发文量
83
审稿时长
4 months
期刊介绍: The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.
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