Reduction of Linear Two-point Boundary Value Problems with Non-separable Boundary Conditions to Cauchy Systems
โ Scribed by Robert E. Kalaba; E.A. Zagustin
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 224 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
It is shown that some linear two-point boundary value problems subject to non-separable boundary conditions may be reduced to initial value problems.
๐ SIMILAR VOLUMES
## Ab&aet -Axed second denvatlve or obhque denvatlve boundary conditions for the steady state heat conductIon equation with heat generation m the twodImensIonal plane are of Importance m apphcatrons[ll In general, they lead to non-selfadjomt boundary value problems or to smgular integral equations
The transformation matrix reIating the back vector to the current time vector for the Fourier series is derived and utilized to solve the linear two-point boundary value problem. This approach can be applied to obtain the optimal control of linear systems subject to quadratic cost criteria. Illustra
A linear two-point boundary value problem is transformed into a Cauchy system in which a Green's function appears as an auxiliary dependent variable. It is then shown that the solution of the Cauchy system provides a solution of the original two-point boundary value problem. Some mmw-ical aspects ar