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  • 标题:General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
  • 本地全文:下载
  • 作者:Salah Boulaaras ; Fares Kamache ; Youcef Bouizem
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-24
  • DOI:10.1186/s13661-020-01470-w
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.
  • 关键词:General decay ; Global existence ; Fractional boundary dissipation ; Blow-up ; Memory term
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