Skip to main content
SpringerLink
Log in

Limit theorems in the theory of multipoint boundary-value problems

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We present a reduction of a countable system of differential equations with countably-point boundary conditions to the case of a finite-dimensional multipoint boundary-value problem. We separately consider the case of a linear system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods of Investigation of Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  2. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).

    Google Scholar 

  3. A. Yu. Luchka,Projective-Iterative Methods [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

  4. N. I. Ronto and T. V. Savina, “A method of successive approximations for multipoint boundary-value problems,” in:Nonlinear Boundary-Value Problems of Mathematical Physics and Their Applications [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1993), pp. 115–119.

    Google Scholar 

  5. N. I. Ronto and T. V. Savina, “Numerical-analytic method for three-point boundary-value problems,”Ukr. Mat. Zh.,46, No. 4, 393–403 (1994).

    Article  MathSciNet  Google Scholar 

  6. T. V. Savina,Investigation of Solutions of Multipoint Boundary-Value Problems by the Numerical-Analytic Method [in Ukrainian], Author's Abstract of the Candidate-Degree Thesis (Physics and Mathematics), Kiev (1995).

  7. N. I. Ronto and O. M. Martynyuk, “Investigation of periodic solutions of second-order countable systems,”Ukr. Mat. Zh.,44, No. 1, 83–93 (1991).

    MathSciNet  Google Scholar 

  8. O. M. Martynyuk,Investigation of Solutions of Boundary-Value Problems for Countable Systems of Nonlinear Differential Equations [in Ukrainian], Author's Abstract of the Candidate-Degree Thesis (Physics and Mathematics), Kiev (1993).

Download references

Authors
  1. Yu. V. Teplinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Nedokis
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kamenets-Podol'sk Pedagogic University, Kamenets-Podol'sk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 4, pp. 519–531, April, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Teplinskii, Y.V., Nedokis, V.A. Limit theorems in the theory of multipoint boundary-value problems. Ukr Math J 51, 577–591 (1999). https://doi.org/10.1007/BF02591760

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02591760

Keywords

Search

Navigation