Loading...

The Damped String Problem With Variable Coefficients

Mostafid, Mohammad Hadi | 2012

677 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43755 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Hesaraki, Mahmoud
  7. Abstract:
  8. We revisit the damped string equation on a compact interval with a variety of boundary conditions and derive an infinite sequence of trace formulas associated with it, employing methods familiar from super symmetric quantum mechanics. We also derive completeness and Riesz basis results for the associated root functions under less smoothness assumptions on the coefficients than usual, using operator theoretic methods only.After discussion about there topices, we need to know little about the functional analysis and partial differential equations. chapter one satisfied this aim.
  9. Keywords:
  10. Supersymmetry ; Differential Equation ; Damped String

 Digital Object List