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The inverse problem of the calculus of variations for ordinary differential equations


About this Title

Ian Anderson and Gerard Thompson

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 98, Number 473
ISBNs: 978-0-8218-2533-4 (print); 978-1-4704-0899-2 (online)
DOI: http://dx.doi.org/10.1090/memo/0473
MathSciNet review: 1115829
MSC (1991): Primary 58E30; Secondary 49N45, 58H99

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Table of Contents


Chapters

  • 1. Introduction
  • 2. The variational bicomplex for ordinary differential equations
  • 3. First integrals and the inverse problem for second order ordinary differential equations
  • 4. The inverse problem for fourth order ordinary differential equations
  • 5. Exterior differential systems and the inverse problem for second order ordinary differential equations
  • 6. Examples
  • 7. The inverse problem for two dimensional sprays