The authors study the second order nonlinear functional \(\phi\)-Laplacian boundary value problem with impulses of the form
\[ \begin{aligned} &(\phi(u'(t)))'=f(t,u,u(t),u'(t))\,\,\,\text{for a.e.}\,\,\, t\in [0,T]\setminus\{t_1,\ldots,t_p\},\\ &g_1(u(0),u)=0, \quad g_2(u(T),u)=0,\\ &I_k(u(t_k),u)=0, \quad M_k(u(t_k^+),u)=0,\,\,\, k=1,\ldots, p, \end{aligned} \]
where the function \(f:[0,T]\times C([0,T])\times {\mathbb R}^2\to {\mathbb R}\) depends discontinuously on the solution and moreover, both boundary conditions and the impulsive functions can be discontinuous in one of its variables. The boundary conditions are of general type which cover Dirichlet and multipoint boundary conditions as special cases. Existence of extremal solutions is proved by using upper and lower solutions approach, together with growth restrictions of Nagumo’s type and monotonicity conditions. An example illustrates the results is included.