We study the equation u = k∗g(u) with k such that ln k is convex or concave and g is monotonic. Some necessary and sufficient conditions for the existence of nontrivial continuous solutions u of this equation are given.
@article{bwmeta1.element.bwnjournal-article-apmv64z2p175bwm,
author = {Wojciech Mydlarczyk},
title = {The existence of solutions to a Volterra integral equation},
journal = {Annales Polonici Mathematici},
volume = {63},
year = {1996},
pages = {175-182},
zbl = {0863.45002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv64z2p175bwm}
}
Wojciech Mydlarczyk. The existence of solutions to a Volterra integral equation. Annales Polonici Mathematici, Tome 63 (1996) pp. 175-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv64z2p175bwm/
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