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The Inverse Method for Transfer Matrices
Author(s) -
Pearson D. B.,
Skelton P. L. I.
Publication year - 1989
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-40.3.476
Subject(s) - mathematics , inverse , mathematical analysis , partial differential equation , first order partial differential equation , nonlinear system , differential equation , boundary value problem , series (stratigraphy) , inverse problem , transfer (computing) , physics , computer science , geometry , parallel computing , paleontology , quantum mechanics , biology
The inverse problem for transfer matrices of a Sturm–Liouville differential equation is shown to be equivalent to the solution of a pair of coupled nonlinear partial differential equations with boundary conditions. A solution is found using asymptotic series.