Hammerstein equations with an integral over a noncompact domain
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 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.
@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 -
Robert Stańczy. Hammerstein equations with an integral over a noncompact domain. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 49-60. doi: 10.4064/ap-69-1-49-60
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