The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions. (English. Russian original) Zbl 1209.34078
Russ. Math. 54, No. 10, 71-74 (2010); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 10, 82-86 (2010).
Summary: We consider linear boundary-value problems for systems of functional differential equations when the number of boundary conditions is greater than the dimension of the system. We allow the boundary conditions to be fulfilled approximately. We propose an approach based on theorems whose conditions allow the verification by special reliable computing procedures.
MSC:
| 34K10 | Boundary value problems for functional-differential equations |
| 34K06 | Linear functional-differential equations |
Keywords:
functional differential equations; boundary-value problems; constructive methods; reliable computingReferences:
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