학술논문

Discrete vector Sturm-Liouville problems with non-self-adjoint boundary conditions: Eigenstructure, orthogonality, and eigenfunctions expansion
Document Type
Article
Source
Computers & Mathematics with Applications. Mar2004, Vol. 47 Issue 6/7, p1123-1133. 11p.
Subject
*BOUNDARY value problems
*EIGENFUNCTIONS
*STURM-Liouville equation
*NUMERICAL solutions to differential equations
*NUMERICAL solutions to integral equations
Language
ISSN
0898-1221
Abstract
In this paper, a theory of discrete vector Sturm-Liouville theory for second-order problems where coefficients of the difference equation are scalar and the boundary conditions are not self-adjoint is developed. Eigenstructure, orthogonality, and eigenfunctions expansion are studied and an illustrative example is included. [Copyright &y& Elsevier]