一类非线性多点奇异悬臂梁方程的惟一迭代解The Sole Iterative Solution to A Class of Nonlinear Multi-points Singular Cantilever Beam Equations
张培国
摘要(Abstract):
利用新的不动点定理对一类奇异悬臂梁方程作了研究,允许非线性项在一测度为0的闭集上奇异,得到了一些关于迭代解的存在和惟一性的新结果.
关键词(KeyWords): 奇异边值问题;悬臂梁方程;迭代解
基金项目(Foundation): 菏泽学院科研基金资助项目(XY10SX01)
作者(Author): 张培国
DOI: 10.16393/j.cnki.37-1436/z.2011.02.004
参考文献(References):
- [1]Gupta C P.Existence and Uniqueness Theorems for the bending of an Elastic Beam Equation[J].Applicable Anal.,1988,26(4):289-304.
- [2]Agarwal R P,O'Regan D,Lakshmikantham V.Singular focal and higherorder boundary value problem[J].Nonlinear Anal.,2000,42(2):215-228.
- [3]Agarwal R P,O'Regan D.Twin solutions to singular boundary value problems[J].Proc.Amer.Math.Soc.,2000,128(7):2085-2094.
- [4]Ruyun M.Multiple positive solutions for a semipositone fourth-order boundary value problem[J].Hiroshima Math.J.,2003,33(2):217-227.
- [5]Qingliu Y.Solvability of singular cantilever beam equations[J].Annals of Differential Equations,2008,24(1):93-99.
- [6]郭大钧.非线性分析中的半序方法[M].济南:山东科技出版社,2000.
- [7]张培国,刘立山.序Banach空间非混合单调二元算子不动点的存在惟一性及应用[J].数学学报,2010,53(1):55-60.