Scholarlink

<p>This work investigates the approximate controllability and free-time approximate controllability of a generalized semilinear Benjamin–Bona–Mahony type dynamic equation defined on homogeneous time scales, subject to homogeneous Dirichlet boundary conditions. To accomplish this, the problem is framed within an abstract setting, employing the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C_0\)</EquationSource> </InlineEquation>-semigroup theory on time scales. Moreover, we apply a technique introduced by Bashirov et al. [<CitationRef CitationID="CR1">1</CitationRef>, <CitationRef CitationID="CR2">2</CitationRef>], which enables us to avoid relying on fixed point theorems.</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

Controllability of the Semilinear Benjamin–Bona–Mahony Dynamic Equation on Homogeneous Time Scales

  • 期刊论文

  • 发表日期：

    2026年1月27日

查看全文
  • Martin Bohner,
  • Cosme Duque,
  • Hugo Leiva

摘要

This work investigates the approximate controllability and free-time approximate controllability of a generalized semilinear Benjamin–Bona–Mahony type dynamic equation defined on homogeneous time scales, subject to homogeneous Dirichlet boundary conditions. To accomplish this, the problem is framed within an abstract setting, employing the \(C_0\) -semigroup theory on time scales. Moreover, we apply a technique introduced by Bashirov et al. [1, 2], which enables us to avoid relying on fixed point theorems.