Blow-Up of the Solution to the Equation for Nonlinear Beam Vibrations with Allowance for Transverse Deformation Effects

被引：0
|
作者：
Umarov, Kh. G. [1 ,2 ]
机构：
[1] Acad Sci Chechen Republ, Grozny 364043, Chechen Republi, Russia
[2] Chechen State Pedag Univ, Grozny 364068, Chechen Republ, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2023年 / 63卷 / 11期
关键词：
beam vibrations; nonlinear Sobolev-type equations; solution blow-up;
D O I：
10.1134/S0965542523110180
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：2107 / 2122
页数：16
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