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Banach空间中三阶微分方程边值问题的多重解
Multiple Solutions for Boundary Value Problem of Third-Order Differential Equations in Banach Spaces
【摘要】 考虑了Banach空间中三阶微分方程的边值问题,利用严格集压缩算子的不动点指数理论得到了3个解的存在性.
【Abstract】 The fixed point index theory of strict set contraction is applied to investigate the existence of the three solutions for boundary value problem of third-order differential equations in Banach spaces.
【关键词】 Banach空间;
微分方程;
边值问题;
【Key words】 Banach space; differential equation; boundary value problem;
【Key words】 Banach space; differential equation; boundary value problem;
【基金】 河南省教育厅自然科学基金项目(2007110004;2008A110002)
- 【文献出处】 河南大学学报(自然科学版) ,Journal of Henan University(Natural Science) , 编辑部邮箱 ,2009年05期
- 【分类号】O175.8
- 【被引频次】2
- 【下载频次】45