Skip to main content
SpringerLink
Log in

Boundary-Value Problem for Systems of Convolutional Equations in Anisotropic Functional Spaces

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

In this paper, anisotropic classes of well-posed Cauchy problems and boundary-value problems for systems of convolutions equations are obtained. For a particular case of differential equations, a hypersurface of conjugate orders of the corresponding polynomial is used, and various classes of well-posed problems 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. L. R. Volevich and S. G. Gindikin, “Cauchy problem and related problems for convolution-type equations,” Usp. Mat. Nauk, 27, No. 4 (166), 65–143 (1972).

  2. L. R. Volevich and S. G. Gindikin, Generalized Functions and Convolution Equations [in Russian], Fizmatlit, Moscow (1994).

    Google Scholar 

  3. A. A. Makarov, “Solvability criterion for boundary-value problems in a layer for a system of linear convolution equations in topological spaces,” in: Theoretical and Applied Problems of Differential Equations and Algebra, Naukova Dumka, Kiev (1978), pp. 178–180.

  4. A. A. Makarov, “On necessary and sufficient solvability conditions for boundary-value problems in a layer for a system of partial differential equations,” Differ. Uravn., 17, No. 2, 320–324 (1981).

    Google Scholar 

  5. G. P. Serdyuk, On the uniqueness of solutions of linear differential equations [in Russian], Ph.D. Thesis, Kharkov (1983).

Download references

Author information

Authors and Affiliations

  1. Kharkov National University, Kharkov, Ukraine

    A. A. Makarov

Authors
  1. A. A. Makarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Makarov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Makarov, A.A. Boundary-Value Problem for Systems of Convolutional Equations in Anisotropic Functional Spaces. J Math Sci 277, 770–773 (2023). https://doi.org/10.1007/s10958-023-06886-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-023-06886-0

Keywords and phrases

AMS Subject Classification

Search

Navigation