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.
© 1978 Hindawi Publishing Corporation
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Castro, Alfonso, "Hammerstein Integral Equations with Indefinite Kernel" (1978). All HMC Faculty Publications and Research. 458.