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<p>In this work, we investigate a model of wave equation having infinite memory, strong time delay and strong damping in the presence of non-linear source term. Semi-group theory is used to analyze the problem’s local existence, and the well-depth method is used to thoroughly examine the problem’s global existence. Furthermore, exponential decay and blow-up results are also investigated using appropriate conditions and assumptions.</p>

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Nonlinear, Damped and Strongly Delayed Wave Equation, Study of Exponential Decay and Blow-Up Phenomena

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • Zahid Ullah,
  • Jianghao Hao,
  • Luqman Bashir,
  • M. Fahim Aslam

摘要

In this work, we investigate a model of wave equation having infinite memory, strong time delay and strong damping in the presence of non-linear source term. Semi-group theory is used to analyze the problem’s local existence, and the well-depth method is used to thoroughly examine the problem’s global existence. Furthermore, exponential decay and blow-up results are also investigated using appropriate conditions and assumptions.