Electron. J. Diff. Eqns., Vol. 2005(2005), No. 24, pp. 1-9.

Even order self adjoint time scale problems

Douglas R. Anderson, Joan Hoffacker

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.

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Douglas R. Anderson
Department of Mathematics and Computer Science
Concordia College, Moorhead, Minnesota 56562, USA
email: andersod@cord.edu
Joan Hoffacker
Department of Mathematical Sciences
O-106 Martin Hall, Box 340975
Clemson University, Clemson, SC 29634-0975, USA
email: johoff@clemson.edu

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