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.

引用

页码：2107 / 2122

页数：16

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