About one method for replacing variables for a wavean equation describing vibrations of systems with moving boundaries

DOI10.15507/2079-6900.22.202002.188-199MaRDI QIDQ6143797

Valeriĭ Nikolaevich Anisimov, Vladislav L'Vovich Litvinov

Publication date: 24 January 2024

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo768

zbMATH Keywords

wave equationfunctional equationboundary value problemssubstitution of variableslaw of boundary motionoscillation of system with moving boundary

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Moving boundary problems for PDEs (35R37) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Cites Work

• Об одном методе получения аналитического решения волнового уравнения, описывающего колебания систем с движущимися границами
• Исследование резонансных свойств механических объектов с движущимися границами при помощи метода Канторовича - Галeркина
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