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一类四阶奇异非线性积分边值问题正解的存在性

DOI: 10.11830/ISSN.1000-5013.2014.01.0112

Keywords: , 正解, 非线性积分边值问题, 不动点定理

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Abstract:

研究一类四阶奇异非线性积分边值问题正解的存在性问题. 利用锥压缩锥拉伸不动点定理及一些分析技巧,建立该边值问题存在一个及多个正解的一些新结果.所得结果推广并改进了先前的相关结果.

References

[1]  GPTA C P.Existence and uniqueness theorem for a bending of an elastic beam equation[J].Appl Anal,1988,26(2):289-304.
[2]  MA Ru-yun,XU Ling.Existence of positive solutions of a nonlinear fourth-order boundary value problem[J].Applied Mathematics Letters,2010,23(5):537-543.
[3]  MA Ru-yun,XU Jia.Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem[J].Nonlinear Analysis,2010,72(1):113-122.
[4]  CUI Yu-jun,ZOU Yu-mei.Existence and Uniqueness theorems for fourth-order singular boundary value problems[J].Computers and Mathematics with Applications,2009,58(7):1449-1456.
[5]  LIU Bing.Positive solutions of fourth order two-point boundary value problems[J].Appl Math Comput.2004,148(2):407-420.
[6]  张兴秋.奇异四阶积分边值问题正解存在唯一性[J].应用数学学报,2010,33(1):38-50.
[7]  MA Hui-li.Symmetric positive solutions for nonlocal boundary value problems of fourth order[J].Nonlinear Analysis,2008,68(3):645-651.
[8]  ZHANG Xue-mei,GE Wei-gao.Positive solutions for a class of boundary-value problems with integral boundary conditions[J].Computers and Mathematics with Applications,2009,58(2):203-215.
[9]  KONG Ling-ju.Second order singular boundary value problems with integral boundary conditions[J].Nonlinear Analysis,2010,72(5):2628-2638.
[10]  邹黄辉,王全义.一类四阶微分方程积分边值问题正解的存在性[J].华侨大学学报:自然科学版,2011,32(6):699-704.
[11]  郭大均.非线性范函分析[M].济南:山东科学技术出版社,2002:314-315.

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