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

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2010-03-26

Author

Sisman, Tahsin Cagri
Tekin, Bayram

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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.

Subject Keywords

Modelling and Simulation, Statistics and Probability, Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/41874

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

DOI

https://doi.org/10.1088/1751-8113/43/12/125205

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Department of Physics, Article

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Citation Formats

T. C. Sisman and B. Tekin, “Green’s matrix for a second-order self-adjoint matrix differential operator,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, pp. 0–0, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41874.