时标上拥有积分边界条件的一阶脉冲动力方程解的存在性

The Existence of Solution for First-Order Impulsive Dynamic Equations on Time Scales with Integral Boundary Conditions

考虑时标上一阶拥有积分边界条件的脉冲动力方程,通过上下解方法结合单调迭代技术得到解存在的充分条件,所得结果包括了周期边值问题、初值问题并且改进和丰富了已有文献的结论,并举例说明其应用.

This paper considers the existence of solutions for first-order impulsive equations with integral boundary conditions on time scales.The sufficient condition that guarantee the existence of solution are obtained by the method of upper and lower solutions coupled with monotone iterative technique.Conclusions of this article included periodic boundary value problems and initial value problems and improved some conclusions of the references before.We also give two examples explaining the application of theorem.