Cauchy problem for one pseudohyperbolic system

DOI10.1134/S0965542520040053zbMath1450.35179OpenAlexW3034903730MaRDI QIDQ2207540

Lina Nikolaevna Bondar, G. M. Pintus, Gennadii V. Demidenko

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040053

zbMATH Keywords

anisotropic Sobolev spacebending-torsional vibrationsdynamics in rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Pseudohyperbolic equations (35L82) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (2)

Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential in a curvilinear quadrant ⋮ Solvability of the Cauchy problem for a pseudohyperbolic system

Cites Work

• Solvability conditions of the Cauchy problem for pseudohyperbolic equations
• Hyperbolic and pseudo-hyperbolic equations in the theory of vibration
• The Cauchy problem for hyperbolic equations not resolved with respect to the highest time derivative
• On quasielliptic operators in \(\mathbb{R}_n\)
• On solvability of the Cauchy problem for pseudohyperbolic equations
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