Hammerstein Integral Equations with Indefinite Kernel

Authors

Alfonso Castro, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

3-1978

Abstract

This paper deals with the problem of finding solutions of the Hammerstein integral equation. It is shown that this problem can be reduced to the study of the critical points of certain functional defined on L₂(Ω). Existence of a solution of the Hammersteln integral equation is proved. Some other related results of interest are obtained.

Rights Information

© 1978 Hindawi Publishing Corporation

Terms of Use & License Information

This work is licensed under a Creative Commons Attribution 3.0 License.

DOI

10.1155/S0161171278000228

Recommended Citation

Castro, Alfonso, "Hammerstein Integral Equations with Indefinite Kernel" (1978). All HMC Faculty Publications and Research. 458.
https://scholarship.claremont.edu/hmc_fac_pub/458