Periodic Solutions in Shifts δ± for a Dynamic Equation on Time Scales
نویسندگان
چکیده
Let T ⊂ R be a periodic time scale in shifts δ± associated with the initial point t0 ∈ T∗. We use Brouwer’s fixed point theorem to show that the initial value problem x(t) = p(t)x(t) + q(t), t ∈ T, x(t0) = x0 has a periodic solution in shifts δ±. We extend and unify periodic differential, difference, h-difference and especially q-difference equations and more by a new periodicity concept on time scales. AMS Subject Classifications: 39A12, 34C25, 34N05, 34K13, 35B10.
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تاریخ انتشار 2014