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Invariant imbedding and multipoint boundary-value problems

✍ Scribed by Richard Bellman

Publisher: Elsevier Science
Year: 1968
Tongue: English
Weight: 208 KB
Volume: 24
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(68)90001-2

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Solutions, \(u(x)\), of the first order system, \(u^{\prime}=f(x, u)\), satisfying the multipoint boundary conditions, \(\sum_{i=1}^{k} M_{i} u\left(x_{j}\right)=r\), are differentiated with respect to the components of \(r\) and with respect to the boundary points, \(x_{j}\), where \(M_{1}, \ldots,