Skip to main content
SpringerLink
Log in

On some periodic solutions of singularly perturbed parabolic equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We present results from the theory of singular perturbations and, in particular, from a new branch of this theory (contrast alternating-type structures).

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. A. B. Vasil’eva, V. F. Butuzov, and N. N. Nefedov, “Contrast structures in singularly perturbed problems,” Fundam. Prikl. Mat., 4, No. 3, 799–851 (1998).

    MATH  Google Scholar 

  2. A. B. Vasil’eva, “Contrast structures of alternating type,” VINITI Series in Contemporary Mathematics and Its Applications [in Russian], 109 (2002).

  3. N. N. Nefedov, “Asymptotic method of differential inequalities for the investigation of periodic contrast structures: existence, asymptotic behavior, and stability,” Differents. Uravn., 36, No. 7, 932–943 (2000).

    Google Scholar 

  4. A. B. Vasil’eva, V. F. Butuzov, and N. N. Nefedov, “Asymptotic theory of contrast structures,” in: Sci. Conf. “Lomonosov Readings” [in Russian], Moscow University, Moscow (2002), pp. 33–45.

    Google Scholar 

  5. A. B. Vasil’eva, A. P. Petrov, and A. A. Plotnikov, “Theory of contrast structures of alternating type,” Zh. Vychisl. Mat. Mat. Fiz., 38, No. 9, 1471–1480 (1998).

    MATH  Google Scholar 

  6. N. N. Nefedov, M. Radziunas, K. R. Schneider, and A. B. Vasilieva, “Change of the type of contrast structures in parabolic Neumann problems,” Zh. Vychisl. Mat. Mat. Fiz., 45, No. 1, 41–45 (2005).

    MATH  Google Scholar 

  7. A. B. Vasil’eva and O. E. Omel’chenko, “Contrast structures of alternating type in quasilinear parabolic equations,” Differents. Uravn., 40, No. 10, 1358–1373 (2004).

    Google Scholar 

  8. A. B. Vasil’eva and L. V. Kolachev, “Singularly perturbed parabolic equations with alternating boundary layer,” Abstrs. Appl. Anal., 2006, 1–21 (2000).

    Article  Google Scholar 

  9. J. D. Murray, Mathematical Biology. Biomathematics, 19, Springer, New York (1993).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow University, Moscow, Russia

    A. B. Vasil’eva

Authors
  1. A. B. Vasil’eva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 3, pp. 359–369, March, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasil’eva, A.B. On some periodic solutions of singularly perturbed parabolic equations. Ukr Math J 59, 396–408 (2007). https://doi.org/10.1007/s11253-007-0025-0

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-007-0025-0

Keywords

Search

Navigation