Two-Point Boundary Problems with One Mild Singularity and an Application to Graded Kirchhoff Plates

  • Markus Rosenkranz
  • Jane Liu
  • Alexander Maletzky
  • Bruno Buchberger
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9301)


We develop a new theory for treating boundary problems for linear ordinary differential equations whose fundamental system may have a singularity at one of the two endpoints of the given interval. Our treatment follows an algebraic approach, with (partial) implementation in the Theorema software system (which is based on Mathematica). We study an application to graded Kirchhoff plates for illustrating a typical case of such boundary problems.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Markus Rosenkranz
    • 1
  • Jane Liu
    • 3
  • Alexander Maletzky
    • 2
  • Bruno Buchberger
    • 2
  1. 1.University of KentCanterbury, KentUnited Kingdom
  2. 2.Research Institute for Symbolic Computation (RISC)HagenbergAustria
  3. 3.Tennessee Tech UniversityCookevilleUSA

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