Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 24, pp. 1-9.

Title: Even order self adjoint time scale problems

Authors: Douglas R. Anderson (Concordia College, Moorhead, MN, USA)
         Joan Hoffacker (Clemson Univ., Clemson, SC, USA)
 
Abstract: 
  Even order self adjoint differential time scale expressions 
  are introduced, together with associated self adjoint 
  boundary conditions; the result is established by induction. 
  Several fourth-order nabla-delta delta-nabla examples are 
  given for select self adjoint boundary conditions, 
  together with the specific corresponding Green's functions 
  over common time scales.  One derived Green's function 
  is shown directly to be symmetric. 
 
Submitted February 6, 2005. Published February 22, 2005.
Math Subject Classifications: 34B10, 39A10.
Key Words: Time scales; boundary value problem; symmetric Green's function.