Abstract:

The authors studied the secondorder [JP2]impulsive delay differential equations -u″=f(t,u,ut,γ)[JP], t≠tk, t∈J=［0,T］, where γ denotes multiple parameters. Under a given boundary value condition, we constructed a family of lower and upper solutions, [JP2]then the existence of extremal solutions of above systems was obtained by monotone iterative technique. Meanwhile, we extended previous results.

Key words: impulsive delay differential equation, upper and lower solutions, monotone iterative technique