Skip to main content
SpringerLink
Log in

Singularly perturbed linear boundary-value problems with pulse effects and the regular reduced problem

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

A singularly perturbed linear boundary-value problem with pulse effect is considered. By using pseudo-inverse matrices, we construct an asymptotic solution with a single boundary layer.

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. M. Z. Nashed (ed.),Generalized Inverses and Applications, Academic Press, New York (1967).

    Google Scholar 

  2. R. Penrose, “A generalized inverse for matrices,”Proc. Cambridge Phil. Soc.,51, 406–413 (1955).

    Google Scholar 

  3. A. B. Vasil'eva and V. F. Butuzov,Asymptotic Expansions of Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  4. A. B. Vasil'eva and V. F. Butuzov,Singularly Perturbed Solutions in Critical Cases [in Russian], Moscow University, Moscow (1978).

    Google Scholar 

  5. R. Conti, “Recent trends in the theory of boundary-value problems for ordinary differential equations,”Bol. UMI,22, No. 3, 135–178 (1967).

    Google Scholar 

  6. A. M. Samoilenko and N. A. Perestyuk,Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).

    Google Scholar 

  7. A. M. Samoilenko and A. A. Boichuk, “Noether linear boundary-value problems for differential systems with pulse influence,”Ukr. Mat. Zh.,44, No. 4, 564–568 (1992).

    Google Scholar 

  8. L. I. Karandjulov, A. A. Boichuk, and V. A. Bozhka, “Asymptotic expansion of the solution of a singularly perturbed linear boundary-value problem,”Dokl. Akad. Nauk Ukr., No. 1, (1994).

Download references

Author information

Authors and Affiliations

  1. Technical University, Sofia

    L. I. Karandjulov

Authors
  1. L. I. Karandjulov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 463–467, April, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karandjulov, L.I. Singularly perturbed linear boundary-value problems with pulse effects and the regular reduced problem. Ukr Math J 47, 537–542 (1995). https://doi.org/10.1007/BF01056039

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056039

Keywords

Search

Navigation