We introduce a topology, which we call the regional topology, on the space ofall real functions on a given locally compact metric space. Next we obtain a newversions of Schauder's fixed point theorem and Ascoli's theorem. We use thesetheorems and the properties of the iterated remainder operator to establish con-ditions under which there exist solutions, with prescribed asymptotic behavior, ofsome dierence and dierential equations.
@article{319,
title = {Regional topology and approximative solutions of dierence and dierential equations},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.319},
language = {EN},
url = {http://dml.mathdoc.fr/item/319}
}
Migda, Janusz. Regional topology and approximative solutions of dierence and dierential equations. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.319. http://gdmltest.u-ga.fr/item/319/