Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator

Details Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator

2009-08-03

arxiv.org/abs/0908.0223v1

J.Phys.A43:125205,2010

Physics

Mathematical Physics

19 pages

Scientific paper

10.1088/1751-8113/43/12/125205

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.

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