Scholarlink

Abstract <p>For a nonlinear partial differential equation of fourth order in time that models bending vibrations of a Timoshenko beam lying on a nonlinear elastic foundation, we study the Cauchy problem in a space of continuous functions defined on the entire number line that have limits at infinity. Conditions for the blow-up of the solution to the Cauchy problem on a finite time interval are obtained.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Blow-Up of the Solution to the Cauchy Problem for the Equation of Bending Vibrations of a Timoshenko Beam Fixed on a Nonlinear Elastic Foundation

  • 期刊论文

  • 发表日期：

    2026年3月1日

查看全文
  • Kh. G. Umarov

摘要

Abstract

For a nonlinear partial differential equation of fourth order in time that models bending vibrations of a Timoshenko beam lying on a nonlinear elastic foundation, we study the Cauchy problem in a space of continuous functions defined on the entire number line that have limits at infinity. Conditions for the blow-up of the solution to the Cauchy problem on a finite time interval are obtained.