Skip to main content
SpringerLink
Log in

Existence and uniqueness of a generalized solution of the mixed problem for an equation of plate oscillation type in a noncylindrical domain

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

We use Galerkin's method to prove the existence and uniqueness of a generalized solution of the one-dimensional mixed problem of plate oscillation type in a noncylindrical domain.

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

Literature cited

  1. N. A. Dragieva, “Application of Galerkin's method to solve the wave equation in a domain with movable boundaries,”Zh. Vychis. Mat. i Mat. Fiz.,15, No. 4, 946–956 (1975).

    Google Scholar 

  2. A. N. Krylov,Vibrations of Ships [in Russian], ONTI, Moscow-Leningrad (1936).

    Google Scholar 

  3. O. A. Ladyzhenskaya,Boundary-value Problems of Mathematical Physics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  4. V. P. Mikhailov,Partial Differential Equations [in Russian], Nauka, Moscow (1983).

    Google Scholar 

Download references

Authors
  1. Ya. I. Sidelnik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 28, 1988, pp. 87–89.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sidelnik, Y.I. Existence and uniqueness of a generalized solution of the mixed problem for an equation of plate oscillation type in a noncylindrical domain. J Math Sci 63, 98–101 (1993). https://doi.org/10.1007/BF01103091

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01103091

Keywords

Search

Navigation