Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Approximate Green's functions and the solution of related integral equations

  • 82 Accesses

  • 9 Citations

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


  1. Calderon, A. P., & A. L. Zygmund, (1955) On a problem of Mihlin. Trans. Amer. Math. Soc. 78, 1, 209–224.

  2. Kantorovich, L. V., (1956) On integral operators. Uspekhi. Matem. Nauk 11, 2, 3–29.

  3. Kantorovich, L. V., & G. P. Akhilov, (1964) Functional Analysis in Normed Spaces. London: Pergamon Press.

  4. Mikhlin, S. G., (1956) Multidimensional Singular Integrals and Integral Equations. London: Pergamon Press.

  5. Roach, G. F., (1967) On the approximate solution of elliptic self-adjoint boundary Value problems. Arch. Rational Mech. Anal. 27, 3, 243–254.

  6. Smirnov, V. I., (1964) A Course of Higher Mathematics. Vol. iv. London: Pergamon Press.

  7. Sobolev, S. L., (1964) Partial Differential Equations of Mathematical Physics. London: Pergamon Press.

Download references

Author information

Additional information

Communicated by E. Leimanis

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Roach, G.F. Approximate Green's functions and the solution of related integral equations. Arch. Rational Mech. Anal. 36, 79–88 (1970). https://doi.org/10.1007/BF00255748

Download citation


  • Neural Network
  • Integral Equation
  • Complex System
  • Nonlinear Dynamics
  • Electromagnetism