Abstract
In this article, we study the oscillation of second order forced impulsive differential equation with gamma-Laplacian and nonlinearities given by Riemann- Stieltjes integrals of the form
(p(t)phi gamma (x'(t)))' + q(0) (t) phi gamma (x(t)) + integral(b)(0) q(t, s) phi(alpha(s)) (x(t)) d zeta(s) = e(t), t not equal tau(k),
with impulsive conditions
x (tau(+)(k)) = gimel(k) x(tau(k)), x'(tau(+)(k)) = eta(k) x'(tau(k)),
where phi gamma (u) := vertical bar u vertical bar(gamma) sgn u, gamma, b is an element of (0, infinity), alpha (b-), and {tau(k)}(k is an element of N) is the the impulsive moments sequence. Using the Riccati transformation technique, we obtain sufficient conditions for the equation to be oscillatory.