Douglas R. Anderson, Joan Hoffacker
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.
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Douglas R. Anderson Department of Mathematics and Computer Science Concordia College, Moorhead, Minnesota 56562, USA email: andersod@cord.edu |
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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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