Öğün, ArzuSeyhan, GizemBereketoğlu, Hüseyin2024-07-122024-07-122009Öğün, A., Seyhan, G. ve Bereketoğlu, H. (2009). Some results on an advanced impulsive differential equation with piecewise constant argument. Maltepe Üniversitesi. s. 113.9.78605E+12https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=331https://hdl.handle.net/20.500.12415/2390In this paper, we consider the following first order advanced impulsive differential equation with piecewise constant argument x 0 (t) + a(t)x(t) + b(t)x([t + 1]) = 0 t 6= n (1) ?x(n) = dnx(n) n ? N = {0, 1, 2, ...}, (2) and the initial condition x(0) = x0 (3) where a, b : [0, ?) ? R are continuous functions, dn : N ? R , ?x(n) = x(n +) ? x(n ?), x(n +) = limt?n+ x(n), x(n ?) = limt?n? x(n), and [.] denotes the greatest integer function. Throughout this paper it is assumed that the solution x(t) is right continuous at [t], t ? [0, ?). We established the exact solution of (1)-(3) on the interval [0, ?) and we study the existence of oscillatory and periodic solutions of the same equation.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessConference Object114113