We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
@article{bwmeta1.element.bwnjournal-article-apmv72z1p15bwm,
author = {Brzychczy, Stanis\l aw},
title = {Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations},
journal = {Annales Polonici Mathematici},
volume = {72},
year = {1999},
pages = {15-24},
zbl = {0953.35140},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p15bwm}
}
Brzychczy, Stanisław. Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations. Annales Polonici Mathematici, Tome 72 (1999) pp. 15-24. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv72z1p15bwm/
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