Skip to main content
Log in

A note on integrable solutions of Hammerstein integral equations

  • Published:
Proceedings of the Indian Academy of Sciences - Mathematical Sciences Aims and scope Submit manuscript

Abstract

We derive a set of sufficient conditions for the existence of solutions of a Hammerstein integral equation.

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.

Similar content being viewed by others

References

  1. Appell J, On the solvability of nonlinear, noncompact problems in function spaces with applications to integral and differential equations,Boll. Un. Mat. It.,B6 (1982) 1161–1167

    MathSciNet  Google Scholar 

  2. Banas J, Integrable solutions of Hammerstein and Urysohn integral equations,J. Aust. Math. Soc.,46 (1989) 61–68

    MATH  MathSciNet  Google Scholar 

  3. Corduneanu C,Integral equations and applications (1991) (Cambridge: Cambridge University Press)

    MATH  Google Scholar 

  4. Deimling K,Nonlinear functional analysis (1985) (Berlin: Springer Verlag)

    MATH  Google Scholar 

  5. Emmanuele G, Integrable solutions of Hammerstein integral equations, Applicable Analysis (to appear)

  6. Gribenberg G, Londen S O and Staffens O,Volterra integral and functional equations (1990) (Cambridge: Cambridge University Press)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balachandran, K., Ilamaran, S. A note on integrable solutions of Hammerstein integral equations. Proc. Indian Acad. Sci. (Math. Sci.) 105, 99–103 (1995). https://doi.org/10.1007/BF02840593

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02840593

Keywords

Navigation