Periodic Boundary Value Problem For First-Order Impulsive Differential Equations

As an important tool to study practical problems of biology, the theory of impulsive differential equations has caused more and more attention. Some interesting results about the existence for impulsive differential equations have been obtained. The monotone iterative technique coupled with lower and upper solutions are powerful methods in dealing with the existence of solutions for nonlinear impulsive differential equations. In this paper, by means of iterative analysis, the existence for periodic boundary value problem of first-order impulsive differential equations is considered. Some new results are obtained. From this result, we can obtain the existence of periodic solution for the impulsive differential equations.