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

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Abstract

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.

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References

  1. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina, Elements of the Modern Theory of Functional Differential Equations (Inst. Komp’yut. Issled., Moscow, 2002) [in Russian].

    Google Scholar 

  2. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina, Introduction to the Theory of Functional Differential Equations: Methods and Applications (Hindawi Publishing Corporation, New York, 2007).

    Book  MATH  Google Scholar 

  3. E. W. Kaucher and W. L. Miranker, Self-Validating Numerics for Functional Space Problems (Academic Press, New York, 1988).

    Google Scholar 

  4. V. P. Maksimov and A. N. Rumyantsev, “Boundary-Value Problems and Problems of Pulse Control in Economic Dynamics. Constructive Study,” Izv. Vyssh. Uchebn. Zaved. Mat., No 5, 56–71 (1993) [Russian Mathematics (Izc. VUZ) 38 (5), 48–62 (1993)].

  5. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina, Introduction to the Theory of Functional Differential Equations (Nauka, Moscow, 1991) [in Russian].

    MATH  Google Scholar 

  6. A. V. Anokhin, “About Linear Impulse Systems for Functional Differential Equations,” Sov. Phys. Dokl. 286(5), 1037–1040 (1986).

    MathSciNet  Google Scholar 

  7. S. N. Chernikov, Linear Inequalities (Nauka, Moscow, 1968) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Perm State University, ul. Bukireva 15, Perm, 614990, Russia

    V. P. Maksimov & A. L. Chadov

Authors
  1. V. P. Maksimov
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  2. A. L. Chadov
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Correspondence to V. P. Maksimov.

Additional information

Original Russian Text © V.P. Maksimov and A.L. Chadov, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 10, pp. 82–86.

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Maksimov, V.P., Chadov, A.L. The constructive investigation of boundary-value problems with approximate satisfaction of boundary conditions. Russ Math. 54, 71–74 (2010). https://doi.org/10.3103/S1066369X10100105

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  • DOI: https://doi.org/10.3103/S1066369X10100105

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