幂变换仿射系统的独特解决方案

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-03-25 DOI:10.1016/j.jmaa.2025.129515

John Stachurski , Ole Wilms , Junnan Zhang

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引用次数: 0

摘要

形式为x=(Axs)1/s+b的系统出现在一系列经济和金融应用中，其中a是作用于实值函数（或向量）空间的线性算子，而s是非零实值。在这些应用中，注意力集中在正解上。给出了当b为正且a不可约时正解的存在唯一性的一个简单刻画。

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Unique solutions to power-transformed affine systems

Systems of the form

x = {(A x^{s})}^{1 / s} + b

arise in a range of economic and financial applications, where A is a linear operator acting on a space of real-valued functions (or vectors) and s is a nonzero real value. In these applications, attention is focused on positive solutions. We provide a simple characterization of existence and uniqueness of positive solutions when b is positive and A is irreducible.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.