Problem on string system vibrations on star-shaped graph with nonlinear condition at node

DOI10.13108/2024-16-1-34MaRDI QIDQ6644290

M. B. Zvereva, Mikhail Kamenskii

Publication date: 27 November 2024

Published in: Ufimskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

hysteresiswave equationgeometric graphoscillatory process

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Title not available (Why is that?)
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• Differential equations on networks (geometric graphs)
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• Sturm separation theorems for a fourth-order equation on a graph
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• Some problems of the qualitative Sturm-Liouville theory on a spatial network
• Stability of a three-layer symmetric differential-difference scheme in the class of functions summable on a network-like domain
• Optimization of boundary controls of string vibrations
• Model of deformations of a Stieltjes string system with a nonlinear condition
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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