Scholarlink

<p>In the present work we establish a uniqueness existence of local and global solutions for some partial functional differential equation with infinite delay, in the case where the unbounded linear part satisfies the Hille-Yosida condition and not necessarily with a densely domain, and the nonlinear part satisfies a condition which is weaker than the ordinary Lipschitz one. We also provide conditions that ensure greater regularity of the solution, and we conclude with an example of application.</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

Existence of Solutions for Some Partial Functional Differential Equation in the Case of Non-Lipschitz Condition with Infinite Delay

  • 期刊论文

  • 发表日期：

    2025年12月23日

查看全文
  • Elhafiane Zakaria,
  • Ezzinbi Khalil

摘要

In the present work we establish a uniqueness existence of local and global solutions for some partial functional differential equation with infinite delay, in the case where the unbounded linear part satisfies the Hille-Yosida condition and not necessarily with a densely domain, and the nonlinear part satisfies a condition which is weaker than the ordinary Lipschitz one. We also provide conditions that ensure greater regularity of the solution, and we conclude with an example of application.