非线性脉冲Fredholm积分方程的耦合拟解及解(英文)

The Coupled Quasi-solution and the Solution of Nonlinear Impulsive Fredholm Integral Equations

利用混合单调理论及锥理论得到了Banach空间中非线性脉冲Fredholm积分方程耦合拟解及解的存在性、惟一性.最后,将所得结果应用于脉冲微分方程边值问题.

In this paper,the authors obtain the existence,tmiqueness of the ooupled quasl-solution and the solution for nonlinear impulsive Fradholm integral equations in Banach space by means of the mixed monotone theory and cone theory. In the end,an application to some boundary value problems of impulsive differential equations is considered.