关键词: 脉冲； 边值问题； 积分边界条件； 不动点定理； 非负解

Abstract:

With the aid of the fixed  point theorem in a cone, we studied the existence of multiple nonnegative solutions to a type of the boundary value problems of secondorder impulsive differential equations with integral boundary conditions and with the nonlinear term containing the firstorder derivative by constructing three functional. The theorem for the existence of at least three nonnegative solutions was obtained under the weaker conditions.

Key words: impulse; , boundary value problems, integral boundary conditions; , fixed point theorem, nonnegative solutions