A constructive approach to boundary value problems with state-dependent impulses

We investigate the non-linear system of ordinary differential equations u′(t)=f(t,u(t)),a.e.t∈[a,b],subject to the state-dependent impulse condition u(t+)−u(t−)=γ(u(t−))fort∈(a,b)suchthatg(t,u(t−))=0and the linear two-point boundary condition Au(a)+Cu(b)=d.Here, −∞