Higher-order self-adjoint boundary-value problems on time scales

  • Authors:
  • Douglas R. Anderson;Gusein Sh. Guseinov;Joan Hoffacker

  • Affiliations:
  • Department of Mathematics and Computer Science, Concordia College, Moorhead, MN;Department of Mathematics, Atilim University, Incek, Ankara, Turkey;Department of Mathematical Sciences, Clemson University, Clemson, SC

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint boundary conditions are discussed. The symmetry property of the corresponding Green's functions is shown, together with specific formulas of Green's functions for select time scales.