一类双曲型方程的Bulgakov问题及鲁棒稳定性

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2021-11-02 DOI:10.3103/S0027133021040051

V. N. Zhermolenko, R. Temoltzi-Ávila

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引用次数: 2

摘要

考虑了存在外部不确定扰动时具有耗散的非齐次波动方程。研究了求具有最大可能振幅的解的问题。基于分离变量的傅里叶方法和具有外部不确定扰动的二阶常微分方程解的最大偏差的布尔加科夫问题，提出了一种求解该问题的方法。证明了傅里叶方法的应用。研究了所考虑的波动方程的鲁棒稳定性。

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Bulgakov Problem for a Hyperbolic Equation and Robust Stability

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Bulgakov Problem for a Hyperbolic Equation and Robust Stability

An inhomogeneous wave equation with dissipation in the presence of an external uncertain perturbation is considered. The problem of finding solutions with the maximum possible amplitudes is investigated. A method for solving this problem based on the Fourier method of separating variables and the Bulgakov problem of the maximum deviation of solutions of second-order ordinary differential equations with external uncertain perturbations is proposed. The application of the Fourier method is justified. The robust stability property of the considered wave equation is investigated.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.