一阶差分方程组周期边值问题解的存在性
Existence of Solutions for Periodic Boundary Value Problems of First-Order Difference Systems
摘要: 自从度量空间的概念被引入以及Banach压缩映射原理被建立以来，对它们的拓展和改进一直是研究的热点。与此同时，人们也将所获得的不动点结果运用于研究某些问题解的存在性。本文运用Banach代数上的图锥度量空间中的不动点定理研究一阶差分方程组周期边值问题解的存在性。
Abstract: Since the concept of metric spaces was introduced and Banach contraction mapping principle was established, their extensions and improvements have always been a research focus. Meanwhile, the obtained fixed point results have also been applied to study the existence of solutions to certain problems. In this thesis, we use some fixed point theorems in graphical cone metric space over Banach algebra to study the existence of solutions for periodic boundary value problems of first-order difference systems.
文章引用：姚奕彤. 一阶差分方程组周期边值问题解的存在性[J]. 应用数学进展, 2026, 15(6): 379-389. https://doi.org/10.12677/aam.2026.156295

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