Existence of Two Solutions of the Inverse Problem for a Mathematical Model of Sorption Dynamics

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-11-23 DOI:10.1134/s00122661230100105

A. M. Denisov, Zhu Dongqin

引用次数: 0

Abstract

The inverse problem for a nonlinear mathematical model of sorption dynamics with an unknown variable kinetic coefficient is considered. A theorem on the existence of two solutions of the inverse problem is proved, and an iterative method for solving it is justified. An example of the application of the proposed method to the numerical solution of the inverse problem is given.

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一类吸附动力学数学模型反问题的两个解的存在性

摘要考虑了具有未知变量动力学系数的非线性吸附动力学数学模型的反问题。证明了反问题存在两个解的定理，并证明了求解反问题的迭代方法。最后给出了该方法在反问题数值解中的应用实例。

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

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.