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We consider the general system of n first order linear\ud ordinary differential equations y'(t)=A(t)y(t)+g(t), a<t< b,\ud subject to "boundary" conditions, or rather linear constraints, of the form Σ^(N)_(ν=1) B_(ν)y(τ_ν)=β\ud Here y(t), g(t) and II are n-vectors and A(t), Bx,..., BN are n × n matrices. The N distinct points {τ_ν} lie in [a,b] and we only require N ≧ 1. Thus as special cases\ud initial value problems, N=1, are included as well as the general 2-point boundary value problem, N=2, with τ_1=a, τ_2=b. (More general linear constraints are also studied, see (5.1) and (5.17).

Publisher: Society for Industrial and Applied Mathematics

Year: 1969

OAI identifier:
oai:authors.library.caltech.edu:34280

Provided by:
Caltech Authors

Downloaded from
http://authors.library.caltech.edu/34280/1/KELsiamjna69.pdf

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