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Existence and uniqueness of finite beam deflection on nonlinear non-uniform elastic foundation with arbitrary well-posed boundary condition

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  • معلومة اضافية
    • بيانات النشر:
      SpringerOpen, 2020.
    • الموضوع:
      2020
    • نبذة مختصرة :
      For arbitrary two-point boundary condition, which makes the corresponding linear uniform problem well-posed, we obtain an existence and uniqueness result for the boundary value problem of finite beam deflection resting on arbitrary nonlinear non-uniform elastic foundation. The difference between the desired solution and the corresponding linear uniform one in $L^{\infty}$L∞ sense is bounded explicitly in terms of given inputs of the problem. Our results seamlessly unify linear uniform and nonlinear non-uniform problems and lead to an iteration algorithm for uniformly approximating the desired deflection.
    • ISSN:
      1687-2770
    • الرقم المعرف:
      10.1186/s13661-020-01411-7
    • Rights:
      OPEN
    • الرقم المعرف:
      edsair.doi.dedup.....b63498e765913b7298889f9baee2dc07