Hammerstein equations with an integral over a noncompact domain
Annales Polonici Mathematici, Volume 69 (1998) no. 1, pp. 49-60
See the original article notice from the Institute of Mathematics Polish Academy of Sciences source
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.
Robert Stańczy. Hammerstein equations with an integral over a noncompact domain. Annales Polonici Mathematici, Volume 69 (1998) no. 1, pp. 49-60. doi: 10.4064/ap-69-1-49-60
@article{10_4064_ap_69_1_49_60,
author = {Robert Sta\'nczy},
title = {Hammerstein equations with an integral over a noncompact domain},
journal = {Annales Polonici Mathematici},
pages = {49--60},
year = {1998},
volume = {69},
number = {1},
doi = {10.4064/ap-69-1-49-60},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-49-60/}
}
TY - JOUR AU - Robert Stańczy TI - Hammerstein equations with an integral over a noncompact domain JO - Annales Polonici Mathematici PY - 1998 SP - 49 EP - 60 VL - 69 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-49-60/ DO - 10.4064/ap-69-1-49-60 LA - en ID - 10_4064_ap_69_1_49_60 ER -
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