【摘要】 为了研究带积分边界条件的二阶脉冲微分方程边值问题3个正解的存在性,首先利用变换技术,把二阶脉冲微分方程转化为没有脉冲的二阶微分方程。然后应用Leggett-Williams不动点定理给出了带积分边界条件的二阶脉冲微分方程存在3个正解的充分条件。最后,通过例子验证了主要结论的正确性。更多还原

【Abstract】 To investigate the existence of three positive solutions of second-order impulsive differential equations with integral boundary conditions.Firstly,by means of the transformation,we convert a second-order impulsive differential equation into a second-order differential equation without impulse.Then by using Leggett-Williams’ fixed point theorem,we establish sufficient conditions for the existence of three positive solutions for the second-order impulsive differential equations with integral boundary conditions.Finally,an example is included to illustrate the main results.更多还原