Green's matrix for a second-order self-adjoint matrix differential operator

Sisman, Tahsin; TEKİN, BAYRAM

doi:10.1088/1751-8113/43/12/125205

Green's matrix for a second-order self-adjoint matrix differential operator

Atıf İçin Kopyala

Sisman T. C., TEKİN B.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.43, sa.12, 2010 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 43 Sayı: 12
Basım Tarihi: 2010
Doi Numarası: 10.1088/1751-8113/43/12/125205
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.