非均质极性电介质扩散漂移充电模型的乘法控制问题

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-09-11 DOI:10.1134/s0012266124050069

R. V. Brizitskii, N. N. Maksimova

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引用次数: 0

摘要

摘要我们研究了不均匀极性电介质电子诱导充电模型的双参数乘法控制问题。推导了边界值问题的成本函数和给定函数的小扰动下最优解的尖锐局部稳定性估计。对于其中一个控制，建立了中继特性或砰砰原理。

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Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric

Abstract

We study a two-parameter multiplicative control problem for a model of electron-induced charging of an inhomogeneous polar dielectric. Sharp local stability estimates for its optimal solutions with respect to small perturbations of both the cost functionals and the given function of the boundary value problem are derived. For one of the controls, the relay property or the bang–bang principle is established.

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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.