Geodesic
The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 82-86

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Linear boundary value problems for functional differential equations are considered when the number of boundary conditions is greater than the dimension of the system in the case of approximate fulfilment of boundary conditions. The approach is based on theorems whose conditions allow one to check up them by special reliable computing procedures.
Keywords: functional differential equations, boundary value problems, constructive methods, reliable computing. 
@article{IVM_2010_10_a9,
     author = {V. P. Maksimov and A. L. Chadov},
     title = {The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {82--86},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a9/}
}
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V. P. Maksimov; A. L. Chadov. The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 82-86. http://geodesic.mathdoc.fr/item/IVM_2010_10_a9/