Periodic Solutions for Neutral Functional Differential Equations with Impulses on Time Scales
نویسندگان
چکیده
Let T be a periodic time scale. We use Krasnoselskii’s fixed point theorem to show that the neutral functional differential equation with impulses x(t) = −A(t)x(t) + g(t, x(t− h(t))) + f(t, x(t), x(t− h(t))), t 6= tj , t ∈ T, x(t+j ) = x(t − j ) + Ij(x(tj)), j ∈ Z + has a periodic solution. Under a slightly more stringent conditions we show that the periodic solution is unique using the contraction mapping principle.
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