Scholarlink

Abstract <p> The paper studies the existence of a classical solution of an initial value problem withincomplete initial data on the boundary of a strip for a hyperbolic differential-difference equation.The equation contains a superposition of a differential operator and a translation operator withrespect to the spatial variable, which varies along the entire real axis. Using the Gelfand–Shilovoperational scheme, we obtain the solution of this problem in closed form.</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

Model Problem in a Strip for a Hyperbolic Differential-Difference Equation

  • 期刊论文

  • 发表日期：

    2025年1月1日

查看全文
  • N. V. Zaitseva

摘要

Abstract

The paper studies the existence of a classical solution of an initial value problem withincomplete initial data on the boundary of a strip for a hyperbolic differential-difference equation.The equation contains a superposition of a differential operator and a translation operator withrespect to the spatial variable, which varies along the entire real axis. Using the Gelfand–Shilovoperational scheme, we obtain the solution of this problem in closed form.