Existence of solutions for a third-order two-point boundary value problem
-
Abstract: Using the monotone iterative method, we demonstrate the existence of nontrivial solutions for a nonlinear third-order two-point boundary value problem by constructing two monotone iterative sequences.
-
[1] 马如云.非线性常微分方程非局部问题[M].北京:科学出版社, 2004. [2] 王伟, 史希福.三阶常微分方程两点边值问题解的存在性及单调迭代方法[J].数学学报(中文版), 1992, 35:213-219. [3] 姚庆六.一类非线性三阶两点边值问题的单调迭代方法[J].云南大学学报(自然科学版), 2011, 33(1):1-5. http://d.old.wanfangdata.com.cn/Periodical/yndxxb201101001 [4] 姚庆六.三阶常微分方程的某些非线性特征值问题的正解[J].数学物理学报, 2003, 23A:513-519. http://d.old.wanfangdata.com.cn/Periodical/sxwlxb200305001 [5] 姚庆六.一类非线性三阶两点边值问题的三重正解[A].滨州学院学报, 2014, 30(3): 1673-2618. http://www.cnki.com.cn/Article/CJFDTotal-GSGY200902034.htm [6] YAO Q L. Solution and positive solution for a semilinear third-order two-point boundary value problems[J]. Appl Math Letters, 2004, 17:1171-1175. doi: 10.1016/j.aml.2003.09.011 [7] MA R Y, LU Y Q. Disconjugacy and extremal solutions of nonlinear third-order equations[J]. Commun Pure Appl Anal, 2014, 13(3):1223-1236. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=f703ff67bd8a803728c58c326199ef45 [8] SUN Y P. Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem[J]. Appl Math J Chinese Univ (Ser B), 2008, 23(4):413-419. doi: 10.1007/s11766-008-1985-z [9] GUO L J, SUN J P, ZHAO Y H. Existence of positive solutions for nonlinear third-order three-point boundary value problems[J]. Nonlinear Analysis, 2008, 68(10):3151-3158. doi: 10.1016/j.na.2007.03.008
点击查看大图
计量
- 文章访问数: 99
- HTML全文浏览量: 50
- PDF下载量: 0
- 被引次数: 0