We consider second order semilinear hyperbolic functional differential equations where the lower order terms contain functional dependence on the unknown function. Existence and uniqueness of solutions for t ∈ (0,T), existence for t ∈ (0,∞) and some qualitative properties of the solutions in (0,∞) are shown.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-16,
author = {L\'aszl\'o Simon},
title = {Semilinear hyperbolic functional equations},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {207-224},
zbl = {1295.35331},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-16}
}
László Simon. Semilinear hyperbolic functional equations. Banach Center Publications, Tome 102 (2014) pp. 207-224. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-16/