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Differentiation of Solutions of Boundary Value Problems with Respect to Nonlinear Boundary Conditions

✍ Scribed by J.A. Ehme

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
276 KB
Volume
101
Category
Article
ISSN
0022-0396

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✦ Synopsis

We consider solutions of boundary value problems for the ordinary differential equation. (y^{\prime n}=f\left(x, y, y^{\prime}, \ldots, y^{\prime n}{ }^{\prime \prime}\right)), which satisfy (g_{i}\left(y(x), \ldots, y^{\prime n}{ }^{11}\left(x_{i}\right)\right)=y_{i}), (1 \leqslant i \leqslant n), where (x_{1} \leqslant \cdots \leqslant x_{n}), and (y_{i} \in \mathbb{R}, 1 \leqslant i \leqslant n). The Implicit Function Theorem is used to establish results in which solutions of the boundary value problems are differentiated with respect to the boundary conditions. 1993 Academic Press, Inc.

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