Scholarlink

Abstract <p> The paper studies the question of the existence of classical solutions in the half-space to amultidimensional hyperbolic differential-difference equation containing translation operators withrespect to spatial variables in lower derivatives. It proves a theorem that solutions constructedusing integral transformations in explicit form are classical if the real part of the symbol of thedifferential-difference operator in the equation is positive.</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

Classical Solutions of One Multidimensional Hyperbolic Equation with Incommensurable Translations in Lower Derivatives

  • 期刊论文

  • 发表日期：

    2025年4月1日

查看全文
  • N. V. Zaitseva

摘要

Abstract

The paper studies the question of the existence of classical solutions in the half-space to amultidimensional hyperbolic differential-difference equation containing translation operators withrespect to spatial variables in lower derivatives. It proves a theorem that solutions constructedusing integral transformations in explicit form are classical if the real part of the symbol of thedifferential-difference operator in the equation is positive.