Summary: Journal of Computational and Applied Mathematics 194 (2006) 309­342
www.elsevier.com/locate/cam
Higher-order self-adjoint boundary-value problems on time scales
Douglas R. Andersona
, Gusein Sh. Guseinovb
, Joan Hoffackerc,
aDepartment of Mathematics and Computer Science, Concordia College, Moorhead, MN 56562, USA
bDepartment of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey
cDepartment of Mathematical Sciences, O-106 Martin Hall, P.O. Box 340975, Clemson University,
Clemson, SC 29634-0975, USA
Received 5 August 2004; received in revised form 26 July 2005
Abstract
In this study, higher-order self-adjoint differential expressions on time scales and their associated self-adjoint
boundaryconditionsarediscussed.ThesymmetrypropertyofthecorrespondingGreen'sfunctionsisshown,together
with specific formulas of Green's functions for select time scales.
© 2005 Elsevier B.V. All rights reserved.
MSC: 34B05; 39A10
Keywords: Time scales; Self-adjoint boundary-value problem; Symmetric Green's function
1. Introduction
Dynamic equations on time scales have been introduced [21] to unify and extend the theory of or-

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

Collections: Mathematics