Mathematics

Existence of solutions for a third-order two-point boundary value problem

  • HE Xing-yue
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  • College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received date: 2018-08-17

  Online published: 2019-11-26

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.

Cite this article

HE Xing-yue . Existence of solutions for a third-order two-point boundary value problem[J]. Journal of East China Normal University(Natural Science), 2019 , 2019(6) : 35 -41,87 . DOI: 10.3969/j.issn.1000-5641.2019.06.005

References

[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.
[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.
[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.
[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.
[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.
[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.
[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.
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