Skip to main content
Log in

Periodic solutions of second-order wave equations. III

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods of Investigation of Periodic Solutions [in Russian], Vishcha Shkola, Kiev (1976).

    Google Scholar 

  2. G. P. Khoma, “The structure of generalized periodic solutions of hyperbolic differential and integrodifferential equations of second order,” Preprint, Academy of Sciences of the Ukrainian SSR, Institute of Mathematics, 85.65, Kiev (1985).

    Google Scholar 

  3. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. Yu. A. Mitropol'skii, G. P. Khoma, and M. I. Gromyak, “Periodic solutions of wave differential and integrodifferential equations of second order,” Preprint, Academy of Sciences of the Ukrainian SSR, Institute of Mathematics, 86.26, Kiev (1986).

    Google Scholar 

  5. O. Vejvoda et al., Partial Differential Equations: Time-Periodic Solutions, Sijthoff-Noordhoff, Germantown, Maryland (1981).

    Google Scholar 

  6. M. Štedry and O. Vejvoda, “Periodic solutions to weakly nonlinear autonomous wave equations,” Czech. Math. J.,25, No. A, 536–555 (1975).

    Google Scholar 

  7. Yu. A. Mitropol'skii and G. P. Khoma, “Periodic solutions of second-order wave equations. II,” Ukr. Mat. Zh.,38, No. 6, 733–739 (1986).

    Google Scholar 

  8. W. S. Hall, “The Rayleigh wave equation — an analysis,” Nonlinear Analysis,2, No. 2, 129–156 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 347–353, May–June, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitropol'skii, Y.A., Khoma, G.P. Periodic solutions of second-order wave equations. III. Ukr Math J 39, 270–275 (1987). https://doi.org/10.1007/BF01057232

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057232

Keywords

Navigation