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Positive Solutions for a Second-Order Nonlinear Impulsive Singular Integro-Differential Equation with Integral Conditions in Banach Spaces 被引量:1
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作者 Xingqiu ZHANG 《Journal of Mathematical Research with Applications》 CSCD 2012年第5期599-614,共16页
The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point ... The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point theory. Moreover, an application is also given to illustrate the main result. 展开更多
关键词 impulsive singular integro-differential equation positive solution msnch fixed point theorem measure of noncompactness.
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Banach空间中二阶非线性脉冲奇异微分方程多点无穷边值问题的正解 被引量:3
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作者 李耀红 张晓燕 《系统科学与数学》 CSCD 北大核心 2011年第7期845-858,共14页
利用锥理论和Mnch不动点定理结合单调迭代技巧,研究了Banach空间中一类二阶非线性脉冲奇异微分方程多点无穷边值问题,获得了正解的存在性定理和正解的迭代序列,改进和推广了某些已知结果.
关键词 脉冲奇异微分方程 正解 多点边值问题 msnch不动点定理.
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