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

作　　者：翟成波[1] 杨晨[1] 

机构地区：[1]山西大学数学系,山西太原030006

出　　处：《信阳师范学院学报（自然科学版）》2006年第1期10-13,16,共5页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：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.

关 键 词：脉冲Fredholm积分方程 混合单调算子 耦合拟解及解 

分 类 号：O177.91[理学—数学]