Oscillation of second order quasilinear delay differential equations with impulses (Q1429344)

The authors obtain several sufficient conditions for all solutions to be oscillatory for the following nonlinear impulsive problem \[ \left( r(t)| x'(t)| ^{\alpha-1}x'(t)\right)'+f(t,x(t-\tau))=0,~t\geq t_0, t\neq t_k, \] \[ x(t_k^{+})=g_k(x(t_k)),~x'(t_k^{+})=h_k(x'(t_k)), \] \[ x(t_0^{+})=x_0,~x'(t_0^{+})=x'(t_0). \] They extend and improve some known results for such equations.