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• Different types of solvability conditions for differential operators

  Publikacja

  • S. Kryzhevich
  • V. Volpert

  - Electronic Journal of Differential Equations - Rok 2006

  Solvability conditions for linear differential equations are usually formulated in terms of orthogonality of the right-hand side to solutions of the homogeneous adjoint equation. However, if the corresponding operator does not satisfy the Fredholm property such solvability conditions may be not applicable. For this case, we obtain another type of solvability conditions, for ordinary differential equations on the real axis, and...

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• On Von Karman Equations and the Buckling of a Thin Circular Elastic Plate

  Publikacja

  • J. Janczewska
  • A. Zgorzelska
  • H. Guze

  - ADVANCED NONLINEAR STUDIES - Rok 2015

  We shall be concerned with the buckling of a thin circular elastic plate simply supported along a boundary, subjected to a radial compressive load uniformly distributed along its boundary. One of the main engineering concerns is to reduce deformations of plate structures. It is well known that von Karman equations provide an established model that describes nonlinear deformations of elastic plates. Our approach to study plate deformations...

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