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扩展b-超度量空间中RLC电路模型的不动点计算与收敛性

Computation and convergence of fixed-point with an RLC-electric circuit model in an extended b-suprametric space.

作者信息

Panda Sumati Kumari, Velusamy Vijayakumar, Khan Ilyas, Niazai Shafiullah

机构信息

Department of Mathematics, GMR Institute of Technology, Rajam, Andhra Pradesh, 532127, India.

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632 014, India.

出版信息

Sci Rep. 2024 Apr 25;14(1):9479. doi: 10.1038/s41598-024-59859-x.

DOI:10.1038/s41598-024-59859-x
PMID:38664488
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11045802/
Abstract

This article establishes various fixed-point results and introduces the idea of an extended b-suprametric space. We also give several applications pertaining to the existence and uniqueness of the solution to the equations concerning RLC electric circuits. At the end of the article, a few open questions are posed concerning the distortion of Chua's circuit and the formulation of the Lagrangian for Chua's circuit.

摘要

本文建立了各种不动点结果，并引入了扩展b-超度量空间的概念。我们还给出了一些与RLC电路方程解的存在性和唯一性相关的应用。在文章结尾，提出了一些关于蔡氏电路失真和蔡氏电路拉格朗日公式的开放性问题。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/d2208a8f44eb/41598_2024_59859_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/582e00d4f1d8/41598_2024_59859_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/ec2807922a35/41598_2024_59859_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/27497e4d0b97/41598_2024_59859_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/c55deb9fd2df/41598_2024_59859_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/d2208a8f44eb/41598_2024_59859_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/582e00d4f1d8/41598_2024_59859_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/ec2807922a35/41598_2024_59859_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/27497e4d0b97/41598_2024_59859_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/c55deb9fd2df/41598_2024_59859_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f977/11045802/d2208a8f44eb/41598_2024_59859_Fig5_HTML.jpg

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