Advances in Difference Equations
Volume 2005 (2005), Issue 1, Pages 15-29
doi:10.1155/ADE.2005.15

Eigenstructure of nonselfadjoint complex discrete vector Sturm-Liouville problems

Abstract

We present a study of complex discrete vector Sturm-Liouville problems, where coefficients of the difference equation are complex numbers and the strongly coupled boundary conditions are nonselfadjoint. Moreover, eigenstructure, orthogonality, and eigenfunctions expansion are studied. Finally, an example is given.