In this paper the system of three dynamic equations with neutral termin the following form$$\left\{\begin{array}{l}( x (t) + p(t) x (u_1 (t) ) )^\delta= a(t) f (y(u_2(t)))\\y^\delta (t) = b(t) g (z( u_3(t) ) )\\z^\delta(t)= c(t) h( x( u_4(t) ) )\right.\end{array}$$on time scales is considered. The aim of this paper is to present sucientconditions for the existence of positive bounded positive solutions of theconsidered system for 0 < p(t) const < 1. The main tool of the proofof presented here result is Krasnoselskii's xed point theorem. Also, theuseful generalization of the Arzela-Ascoli theorem on times scales to thethree dimensional case is proved.
@article{523,
title = {Existence of positive bounded solutions of system of three dynamic equations with neutral term on time scales},
journal = {Tatra Mountains Mathematical Publications},
volume = {72},
year = {2019},
language = {EN},
url = {http://dml.mathdoc.fr/item/523}
}
Ostaszewska, Urszula; Schmeidel, Ewa; Zdanowicz, Małgorzata. Existence of positive bounded solutions of system of three dynamic equations with neutral term on time scales. Tatra Mountains Mathematical Publications, Tome 72 (2019) . http://gdmltest.u-ga.fr/item/523/