Extremal solutions for nonlinear functional ϕϕ-Laplacian impulsive equations

In this paper we deal with some nonlinear ϕϕ-Laplacian second order boundary value problems with impulses, subject to a general type of boundary value conditions which cover Dirichlet and periodic boundary data as particular cases. Our approach is that of upper and lower solutions together with growth restrictions of Nagumo’s type. The impulsive functions depend implicitly on the different considered variables and the boundary value conditions are nonlinear. In both cases functional dependence on the solution is allowed.