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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 10, Pages 82–86 (Mi ivm7144)

This article is cited in 2 papers

Brief communications

The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions

V. P. Maksimov, A. L. Chadov

Chair of Information Systems and Mathematical Methods in Economics, Perm State University, Perm, Russia

Abstract: 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.

UDC: 517.929

Received: 02.04.2010


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:10, 71–74

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