Skip to main content
SpringerLink
Log in

Mixed Boundary Value Problem for Strongly Elliptic Differential Difference Equations in a Bounded Domain

  • Research Articles
  • Published:
Russian Journal of Mathematical Physics Aims and scope Submit manuscript

Abstract

This paper deals with mixed boundary value problem for elliptic differential-difference equation in a bounded domain. Results on the unique solvability and smoothness of generalized solutions to a problem of this kind are obtained.

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. Ph. Hartman and G. Stampacchia, “On Some Non-Linear Elliptic Differential-Functional Equations”, Acta Math., 115 (1966), 271–310.

    Article  MathSciNet  Google Scholar 

  2. G. G. Onanov and E. L. Tsvetkov, “On the Mininum of the Energy Functional with Respect to Functions with Deviating Argument in a Stationary Problem of Elasticity Theory”, Russ. J. Math. Phys., 3:4 (1995), 491–500.

    MATH  Google Scholar 

  3. A. L. Skubachevskii, Elliptic Functional Differential Equations and Applications, Birkhauser, Basel – Boston – Berlin, 1997.

    MATH  Google Scholar 

  4. A. L. Skubachevskii, “Boundary-Value Problems for Elliptic Functional-Differential Equations and Their Applications”, Russian Math. Surveys, 71:5 (2016), 801–906.

    Article  ADS  MathSciNet  Google Scholar 

  5. V. V. Liiko and A. L. Skubachevskii, “Mixed Problems for Strongly Elliptic Differential-Difference Equations in a Cylinder”, Math. Notes, 107:5 (2020), 770–790.

    Article  MathSciNet  Google Scholar 

  6. V. V. Liiko and A. L. Skubachevskii, “Smoothness of Solutions to the Mixed Problem for Elliptic Differential-Difference Equation in Cylinder”, Complex Variables and Elliptic Equations (published online), (2020).

    Google Scholar 

Download references

Acknowledgments

The author thanks A.L. Skubachevskii for interest in the work and valuable advice.

Funding

This work is supported by the Ministry of Science and Higher Education of the Russian Federation: agreement no. 075-03-2020-223/3 (FSSF-2020-0018).

Author information

Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

    V. V. Liiko

  2. Lomonosov Moscow State University, Moscow, Russia

    V. V. Liiko

Authors
  1. V. V. Liiko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Liiko.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liiko, V.V. Mixed Boundary Value Problem for Strongly Elliptic Differential Difference Equations in a Bounded Domain. Russ. J. Math. Phys. 28, 270–274 (2021). https://doi.org/10.1134/S1061920821020138

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061920821020138

Search

Navigation