The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-6,
author = {M. Niedziela},
title = {An approximate solution of some Volterra integral equation with a smooth kernel},
journal = {Applicationes Mathematicae},
volume = {35},
year = {2008},
pages = {209-221},
zbl = {1154.45006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-6}
}
M. Niedziela. An approximate solution of some Volterra integral equation with a smooth kernel. Applicationes Mathematicae, Tome 35 (2008) pp. 209-221. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-6/