Solvability Analysis of Problems of Determining External Influence of Combined Type in Processes Described by Parabolic Equations

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-08-15 DOI:10.1134/S1990478924020108

A. I. Kozhanov, G. V. Namsaraeva

引用次数: 0

Abstract

The aim of this paper is to study the solvability of inverse problems of determining, together with the solution of the heat equation, its right-hand side or an unknown external influence. The specific feature of the problems studied is that the unknown external influence is determined by two functions of which one depends only on the spatial variable and the other, only on the time variable.

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抛物线方程描述过程中确定组合型外部影响问题的可解决性分析

摘要本文旨在研究与热方程的解一起确定其右手边或未知外部影响的逆问题的可解性。所研究问题的具体特点是，未知外部影响由两个函数确定，其中一个函数只取决于空间变量，另一个函数只取决于时间变量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.