Skip to main content
SpringerLink
Log in

A method for the analysis of distributed-parameter mechanical systems

  • Published:
Soviet Applied Mechanics Aims and scope

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

Literature Cited

  1. G. A. Grinberg, “A new method for the solution of certain boundary-value problems for equations of mathematical physics that admit separation of variables,” Izv. Akad. Nauk SSSR, Ser. Fiz.,10, No. 2, 1946).

  2. S. G. Krein, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  3. A. A. Martynyuk, “Construction of solutions of dynamical systems in the domain of asymptotic stability,” Dop. Akad. Nauk URSR, Ser. A. No. 11 (1969).

  4. A. A. Martynyuk, “Problems in the theory of the stability of approximate solutions and differential approximation,” in: Mathematical Physics [in Russian], Vol. 7, Naukova Dumka, Kiev (1970).

    Google Scholar 

  5. A. A. Martynyuk, “A realization of a rapidly converging iterative procedure for the solution of differential equations with applications,” Ukrainsk. Matem. Zh.,22, No. 6 (1970).

  6. A. A. Martynyuk and A. A. Sukennik, “Construction of approximate solutions of countable systems and their stability,” Ukrainsk. Matem. Zh.,21, No. 5 (1969).

  7. V. G. Melamed, “Solution of the Steffan problem by reduction to a system of ordinary differential equations,” Dokl. Akad. Nauk SSSR,116, No. 4 (1957).

  8. H. Poincaré, Curves Determined by Differential Equations [Russian translation], Gostekhizdat, Moscow (1947).

    Google Scholar 

Download references

Authors
  1. A. A. Martynyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 6, No. 12, pp. 97–103, December, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynyuk, A.A. A method for the analysis of distributed-parameter mechanical systems. Soviet Applied Mechanics 6, 1353–1358 (1970). https://doi.org/10.1007/BF00888830

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00888830

Keywords

Search

Navigation