Multipoint Boundary Value Problems for Ordinary Differential Systems

✍ Scribed by P.W. Eloe; J. Henderson

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 292 KB
• Volume: 114
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1994.1148

✦ Synopsis

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, M_{k}) are (n \times n) constant real matrices, (r \in \mathbb{R}^{n}), and (x_{1}<\cdots<x_{k}). 1994 Academic Press. Inc