Skip to main content
SpringerLink
Log in

The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel

  • Published:
Russian Mathematics Aims and scope Submit manuscript

Abstract

We find the asymptotic structure of the resolvent for the various cases of zeros of symbol for the discrete difference renewal equations with the nonsummable kernel.

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. I. L. Oinas and Z. B. Tsalyuk, “The Asymptotic Character of the Resolvent of Discrete Equation in Convolutions,” Available from VINITI, No. 3127-B98 (Kuban State University, 1998).

    Google Scholar 

  2. I. L. Oinas, “The Asymptotic Behavior of the Resolvent of Discrete Equation of Convolution Type in an Unstable Case,” Available from VINITI, No. 2636-B99 (Kuban State University, 1999).

    Google Scholar 

  3. I. L. Oinas, “The Asymptotic Structure of the Resolvent for Some Class of Kernels of a Difference Equation,” Available from VINITI, No. 517-B2004 (Kuban State University, 2004).

    Google Scholar 

  4. Z. B. Tsalyuk and M. B. Tsalyuk, “The Resolvent Structure of a Volterra Equation with Nonsummable Difference Kernel,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 4, 72–82 (2010) [Russian Mathematics (Iz. VUZ) 54 (4), 62–71 (2010)].

    Google Scholar 

  5. G.M. Fikhtengolts, Course of Differential and Integral Calculus (Nauka, Moscow, 1962), Vol. 2.

    Google Scholar 

  6. W. Feller, An Introduction to Probability Theory and its Applications (John Wiley & Sons, New York, 1950; Mir, Moscow, 1967), Vol. 1.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kuban State University, ul. Stavropol’skaya 149, Krasnodar, 350040, Russia

    I. L. Oinas, T. A. Sivacheva & Z. B. Tsalyuk

Authors
  1. I. L. Oinas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. A. Sivacheva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Z. B. Tsalyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. L. Oinas.

Additional information

Original Russian Text © I.L. Oinas, T.A. Sivacheva, Z.B. Tsalyuk, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 5, pp. 28–37.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Oinas, I.L., Sivacheva, T.A. & Tsalyuk, Z.B. The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel. Russ Math. 58, 21–29 (2014). https://doi.org/10.3103/S1066369X1405003X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X1405003X

Keywords

Search

Navigation