Hammerstein equations with an integral over a noncompact domain
Tom 69 / 1998
Annales Polonici Mathematici 69 (1998), 49-60 DOI: 10.4064/ap-69-1-49-60
The existence of solutions of Hammerstein equations in the space of bounded and continuous functions is proved. It is obtained by the Schauder fixed point theorem using a compactness theorem. The result is applied to Wiener-Hopf equations and to ODE's.