MMN-1468
Periodic solutions for a system of totally nonlinear dynamic equations on time scale
Abstract
Let $\mathbb{T}$ be a periodic time scale. We use a reformulated version of
Krasnosel'ski\u{\i}'s fixed point theorem to prove that the system of
nonlinear neutral dynamic equation with delay
\[
x^{\Delta}(t) = -A(t)H(x^{\sigma}(t))+ \left(Q(t, x(t-r(t))))\right)^{\Delta}
+ G\big(t,x(t), x(t-r(t))\big), t \in \mathbb{T},
\]
has periodic solutions on the time scale $\mathbb{T}$.
Vol. 17 (2016), No. 1, pp. 671-682
DOI: 10.18514/MMN.2016.1468