We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.
@article{bwmeta1.element.bwnjournal-article-apmv69z1p61bwm,
author = {H. Leszczy\'nski},
title = {On the method of lines for a non-linear heat equation with functional dependence},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {61-74},
zbl = {0916.65100},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv69z1p61bwm}
}
H. Leszczyński. On the method of lines for a non-linear heat equation with functional dependence. Annales Polonici Mathematici, Tome 69 (1998) pp. 61-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z1p61bwm/
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