Skip to main content
SpringerLink
Log in

Singular perturbation of general boundary value problem for higher-order elliptic equation containing two parameters

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper we consider the construction of asymptotic expression of solution for general boundary value problem for higher order elliptic equation containing two parameters. By using the method of two-parameter expression, asymptotic expression of solution and estimation corresponding to the remainder term are given. These results are the extensions of [1] and [7].

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. Вишик, М. И., и Люстернк Л. А.,YMH CCCP, XII, 5. (1957), 3–122.

    Google Scholar 

  2. Линь Цзун-чиДAH CCCP. 157, 4, (1964). 784–787.

    Google Scholar 

  3. Jiang Fu-ru, Journal of Fudan University (Edition on Natural Science), 9, (1964), 513–519. (in Chinese)

    Google Scholar 

  4. Besjes, J. C., J. Math. Anal. and Appl., 49 (1975), 24–41.

    Google Scholar 

  5. Comstock, C., SIAM, J. Appl. Math., 40 (1971, 491–502.

    Google Scholar 

  6. Jiang Fu-xu, Journal of Fudan University (Edition on Natural Science), 2 (1978), 29–37. (in Chinese)

    Google Scholar 

  7. Jiang Fu-xu and Gao Ru-xi, Journal Uf Fudan University (Edition on Natural Science), 3 (1979), 35–45. (in Chinese)

    Google Scholar 

  8. Lin Zong-chi, Journal of Fujian Normal University (Edition on Natural Science) 1 (1980), 1–8, (in Chinese)

    Google Scholar 

  9. Lin Zong-chi, Journal of Fujian Normal University (Edition on Natural Science) 2 (1980), 1–12. (in Chinese)

    Google Scholar 

  10. Lions J. L. and Magens, S.,Non-homogeneous Boundary Value Problem and Applications, Springer-Verlag, New York, Heideberg, Berlin (1972).

    Google Scholar 

  11. Timoshenko, S. and Woinosky-Kriger, S.,Theory of Plates and Shells, second ed., McGraw-Hill, N.Y. (1959).

    Google Scholar 

  12. Lin Zong-chi, Journal of Fujian Normal University (Edition on Natural Science), 2 (1979), 1–12. (in Chinese)

    Google Scholar 

  13. Гусеба, О. В., тДAH CCCP. 102, 6 (1955), 1069–1072.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Methematics, Fujian Normal University, Fuzhou

    Lin Zong-chi

Authors
  1. Lin Zong-chi
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zong-chi, L. Singular perturbation of general boundary value problem for higher-order elliptic equation containing two parameters. Appl Math Mech 3, 697–708 (1982). https://doi.org/10.1007/BF01875734

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01875734

Keywords

Search

Navigation