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<p>This paper is concerned with the existence and uniqueness of solutions for a semilinear neutral differential equation with impulses and nonlocal conditions. We assume that the nonlinear terms are globally Lipschitz, which allows us to prove the existence and uniqueness of solutions via Banach fixed-point theorem. Finally, we present an example as an application of our method.</p>

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Semilinear Neutral Differential Equations with Impulses and Nonlocal Conditions

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • Hugo Leiva,
  • Lenin Riera-Segura,
  • Sebastián Lalvay

摘要

This paper is concerned with the existence and uniqueness of solutions for a semilinear neutral differential equation with impulses and nonlocal conditions. We assume that the nonlinear terms are globally Lipschitz, which allows us to prove the existence and uniqueness of solutions via Banach fixed-point theorem. Finally, we present an example as an application of our method.