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<p>This paper aims to study the existence of mild solutions to neutral evolution equations on an unbounded interval. Based on the fixed point theorem for almost history-dependent operators and the Schauder fixed point theorem, we give some existence results of mild solutions under different conditions of nonlinear disturbances. Finally, the obtained results are applied to a class of neutral partial differential equations.</p>

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Existence of Mild Solutions to Neutral Evolution Equations on Infinite Interval

  • 期刊论文

  • 发表日期：

    2025年10月22日

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  • Xuemei Li,
  • Changfeng Liu,
  • Fengzhen Long

摘要

This paper aims to study the existence of mild solutions to neutral evolution equations on an unbounded interval. Based on the fixed point theorem for almost history-dependent operators and the Schauder fixed point theorem, we give some existence results of mild solutions under different conditions of nonlinear disturbances. Finally, the obtained results are applied to a class of neutral partial differential equations.