Nonhomogeneous boundary value problem for first-order impulsive differential equations with delay (Q2475883)

The authors establish the existence of solution for an impulsive delay differential equation with a constant initial condition \(x(\theta) = x(0) \) for \( \theta\in [-r,o] \) and boundary conditions of the form \( x(0) -x(T) =\rho,\) \(\rho \) is a real number. They use the monotone iterative technique coupled with lower and upper solutions.