Periodic solutions for a class of differential equation with delays depending on state
Zhao, Hou Yu ; Fečkan, Michal
Mathematical Communications, Tome 22 (2017) no. 1, p. 29-42 / Harvested from Mathematical Communications
Text on Mathematical Communications
In this paper, we use Schauder and Banach fixed point theorems to study the existence, uniqueness and stability of periodic solutions of a class of iterative differential equation $$x'(t)=\sum_{m=1}^k\sum_{l=1}^\infty C_{l, m}(t)(x^{[m]}(t))^l+G(t),$$ where $x^{[m]}(t)$ denotes $m$th iterate of $x(t)$ for $m=1,2, \ldots, k.$.
Publié le : 2017-11-25
Classification:  iterative differential equation; periodic solutions; fixed point theorem,  39B12; 39B82 
@article{mc1970,
     author = {Zhao, Hou Yu and Fe\v ckan, Michal},
     title = {Periodic solutions for a class of differential equation with delays depending on state},
     journal = {Mathematical Communications},
     volume = {22},
     number = {1},
     year = {2017},
     pages = { 29-42},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1970}
}

Zhao, Hou Yu; Fečkan, Michal. Periodic solutions for a class of differential equation with delays depending on state. Mathematical Communications, Tome 22 (2017) no. 1, pp.  29-42. http://gdmltest.u-ga.fr/item/mc1970/