Green's matrix for a second-order self-adjoint matrix differential operator
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.43, no.12, 2010 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 43 Issue: 12
- Publication Date: 2010
- Doi Number: 10.1088/1751-8113/43/12/125205
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: Yes
Abstract
A systematic construction of the Green's matrix for a second-order self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out. We follow the general approach of extracting the Green's matrix from the Green's matrix of the corresponding first-order system. This construction is required in the cases where the differential equation set cannot be turned to an algebraic equation set via transform techniques.