一类四阶差分方程多点边值问题的正解Positive solutions for forth order difference equation boundary value problem
徐有基;
摘要(Abstract):
为解决多点支撑弹性梁的正解的存在性问题,运用锥上不动点指数理论,研究一类含参四阶差分方程多点边值问题.获得了当参数在一定范围内取值时正解的存在性结果,得到了正解存在的充分条件.
关键词(KeyWords): 四阶;差分方程;多点;边值问题;正解
基金项目(Foundation): 西北师范大学科技创新工程(NWNU-KJCXGC-3-52);; 甘肃省教育厅基金(0901-03)
作者(Authors): 徐有基;
参考文献(References):
- [1]He Zhimin,Yu Jianshe.On the existence of positive solutions of fourth-order dierence equations[J].J.Appl.Math.Comp.,2005,161:139-148.
- [2]Zhang Binggen,Kong Lingju,Sun Yijun,et al.Existence of positive solutions for BVPs of fourth-order dierence equations[J].Appl.Math.Comp.,2002,131:583-591.
- [3]Rachunkova I,Tisdell C C.Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions[J].Nonlinear Anal.,2007,67:1236-1245.
- [4]Cheung Wingsum,Ren Jingli,Patricia J Y,et al.Multiple positive solutions for discrete nonlocal boundary value problems[J].J.Math.Anal.Appl.,2007,330:900-915.
- [5]Wong P J Y,Agarwal R P.Eigenvalue theorems for discrete multipoint confugate boundary value problems[J].J.Comp.Appl.Math.,2000,113:227-240.
- [6]Agarwal R P,Henderson J.Positive solutions and nonlinear eigenvalue problems for third-order dierence equations[J].Comp.Math.Appl.,1998,36:374-355.
- [7]Ren Jingli,Ren B X.Existence of positive solutions for discrete m-point boundary value problems[J].J.Syst.Sci.Math.Sci.,2005,25:78-86.
- [8]Ma Ruyun,Youssef N R.Positive solutions of three-point nonlinear discrete second order boundary value problem[J].J.Dierence Equ.Appl.,2004,10:129-138.