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Generalized Green's functions and generalized inverses for linear differential systems with Stieltjes boundary conditions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Brown, Richard C. |
| Copyright Year | 1974 |
| Abstract | The concept of a “generalized Green’s function” or kernel of an integral operator which would invert a compatible system of ordinary or partial differential equations was first introduced early in the century by Hilbert [g]. In the same period Fredholm [6] and H urwitz [9] developed similar ideas in the theory of linear integral equations. Later authors notably Elliot [Sj, Reid [15], [16], Bradley [1], Wyler [20], and Loud [IO], [II], have constructed generalized Green’s matrices for differential systems under two point boundary conditions. For further historical details see the excellent survey of Reid [17]. In this paper we investigate generalized Green’s matrices for the system |
| Starting Page | 335 |
| Ending Page | 351 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/0022-0396(74)90019-9 |
| Volume Number | 16 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82507327.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/0022-0396%2874%2990019-9 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
