Hammerstein equations with an integral over a noncompact domain
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 49-60.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-69-1-49-60
Keywords: Hammerstein operator, Wiener-Hopf equation

Robert Stańczy 1

1
@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},
     publisher = {mathdoc},
     volume = {69},
     number = {1},
     year = {1998},
     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
PB  - mathdoc
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  - 
%0 Journal Article
%A Robert Stańczy
%T Hammerstein equations with an integral over a noncompact domain
%J Annales Polonici Mathematici
%D 1998
%P 49-60
%V 69
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-49-60/
%R 10.4064/ap-69-1-49-60
%G en
%F 10_4064_ap_69_1_49_60
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. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-49-60/

Cité par Sources :