半线性热弹性系统温和解的存在性及最优控制分析

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-10-09 DOI:10.1080/01630563.2023.2266004

Rohit Patel, V. Vijayakumar, Shimpi Singh Jadon, Anurag Shukla

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引用次数: 0

摘要

摘要本文的主要目的是讨论控制项单独放在热方程中的半线性热弹性系统的最优控制问题。利用所考虑的系统的收缩映射，讨论了温和解的存在唯一性。通过假定某些条件，拉格朗日问题承认至少有一个最优控制对。为了证明主要结果，我们在非线性项上假设了Lipschitz条件。关键词:存在温和解最优控制半线性热弹性系统唯一性数学学科分类:34A0834K3549J15

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An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System

AbstractIn this article, the main objective is the conversation about the optimal control problem of the semilinear thermoelastic system, in which the control term is placed solely in the thermal equation. We discuss the existence and uniqueness of mild solutions by applying the contraction mapping for the considered system. By assuming some conditions specified Lagrange’s problem acknowledges at least one optimal control pair. For proving the main results, we are assuming the Lipschitz condition on the nonlinear term.KEYWORDS: Existencemild solutionoptimal controlsemilinear thermoelastic systemuniquenessMATHEMATICS SUBJECT CLASSIFICATION: 34A0834K3549J15

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.