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/