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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 11, Pages 1877–1893
DOI: https://doi.org/10.31857/S0044466923110273 (Mi zvmmf11652) 		 
Partial Differential Equations

Blow-up of the solution to the equation for nonlinear beam vibrations with allowance for transverse deformation effects

Kh. G. Umarovab

a Academy of Sciences of the Chechen Republic, 364043, Grozny, Chechen Republic, Russia
b Chechen State Pedagogical University, 364068, Grozny, Chechen Republic, Russia
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DOI: https://doi.org/10.31857/S0044466923110273
Abstract: Beam vibrations with allowance for deformation effects in the transverse direction are modeled using a nonlinear Sobolev-type differential equation, for which the Cauchy problem is investigated in the space of continuous functions. Conditions for solution blow-up on a finite time interval are considered.
Key words: beam vibrations, nonlinear Sobolev-type equations, solution blow-up.
Received: 14.05.2023
Revised: 14.05.2023
Accepted: 25.07.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 11, Pages 2107–2122
DOI: https://doi.org/10.1134/S0965542523110180
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: Kh. G. Umarov, “Blow-up of the solution to the equation for nonlinear beam vibrations with allowance for transverse deformation effects”, Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023), 1877–1893; Comput. Math. Math. Phys., 63:11 (2023), 2107–2122
Citation in format AMSBIB
\Bibitem{Uma23}
\by Kh.~G.~Umarov
\paper Blow-up of the solution to the equation for nonlinear beam vibrations with allowance for transverse deformation effects
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 11
\pages 1877--1893
\mathnet{http://mi.mathnet.ru/zvmmf11652}
\crossref{https://doi.org/10.31857/S0044466923110273}
\elib{https://elibrary.ru/item.asp?id=54720595}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 11
\pages 2107--2122
\crossref{https://doi.org/10.1134/S0965542523110180}
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