Skip to main content
Log in

Boundary-value problems for parametric ordinary differential equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

By using semiinverse matrices and a generalized Green's matrix, we construct solutions of boundary-value problems for linear and weakly perturbed nonlinear systems of ordinary differential equations with a parameter in boundary conditions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Boichuk,Constructive Methods for Analysis of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1990).

    Google Scholar 

  2. Yu. E. Boyarintsev,Methods for Solving Degenerate Ordinary Differential Systems [in Russian], Nauka, Novosibirsk (1988).

    Google Scholar 

  3. P. Lancaster,Theory of Matrices, Academic Press, New York (1969).

    Google Scholar 

  4. E. A. Grebenikov and Yu. A. Ryabov,Constructive Methods for Analysis of Nonlinear Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  5. O. Vejvoda, “Perturbed boundary-value problems and their approximate solution,” in:Symposium on Numerical Treatment of Ordinary Differential Equations and Integral and Integro-Differential Equations, Birkhäuser, Basel, Rome (1960), pp. 37–41.

    Google Scholar 

  6. V. A. Trenogin,Functional Analysis [in Russian], Nauka, Moscow (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 372–377, April, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karandzhulov, L.I. Boundary-value problems for parametric ordinary differential equations. Ukr Math J 46, 389–395 (1994). https://doi.org/10.1007/BF01060408

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060408

Keywords

Navigation