Existence and nonexistence results of impulsive first-order problem with integral boundary condition

This paper is concerned with a first-order impulsive boundary value problem (IBVP for short) with integral boundary condition and depending on a parameter. We obtain the existence and nonexistence results of positive solutions for the IBVP when the nonlinear term and the impulses satisfy different requirements of superlinearity and sublinearity and the parameter lies in some intervals.