参考文献/References:
[1] 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(2):203-215.
[2] EDSON A, TO F M, MAURICIO L P. Monotone positive solutions for a fourth order equation with nonlinear boundary conditions [J]. Nonlinear Analysis-Theory Methods and Applications, 2009(9):3834-3481.
[3] CUI Yu-jun, ZOU Yu-mei. Existence and uniqueness theorems for fourth-order singular boundary value problems [J]. Computers and Mathematics with Applications, 2009(7):1449-1456.
[4] 刘进生, 张福伟, 王淑丽. 四阶方程两点边值问题变号解的存在性 [J]. 应用泛函分析学报, 2007(4):366-370.
[5] 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(1):38-50.
[6] MA Hui-li. Symmetric positive solutions for nonlocal boundary value problems of fourth order [J]. Nonlinear Analysis-Theory Methods and Applications, 2008(3):645-651.
[7] MA Ru-yun, XU Jia. Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem [J]. Nonlinear Analysis-Theory Methods and Applications, 2010(1):113-121.
[8] MA Ru-yun. Existence of positive solutions of a fourth-order boundary value problem [J]. Applied Mathematics and Computation, 2005, (2):1219-1231.doi:10.1016/j.amc.2004.10.014.
[9] GUPTA C P. Existence and uniqueness theorem for the bending of an elastic beam equation [J]. Applicable Analysis, 1988(4):289-304.
[10] LIU B. Positive solutions of fourth-order two point boundary value problems [J]. Applied Mathematics and Computation, 2004, (2):407-420.doi:10.1016/S0096-3003(02)00857-3.
[11] ZHAO Z. A necessary and sufficient condition for the existence of positive solutions of singular boundary value problems [J]. Applied Mathematics and Computation, 2005.1219-1231.
[12] 曹君燕, 王全义. 一类二阶微分方程两点边值问题的正解的存在 [J]. 华侨大学学报(自然科学版), 2010(1):113-117.
[13] 郭大均. 非线性范函分析 [M]. 济南:山东科学技术出版社, 2002.286-330.
相似文献/References:
[1]曹君艳,王全义.一类二阶微分方程两点边值问题的正解存在性[J].华侨大学学报(自然科学版),2010,31(1):113.[doi:10.11830/ISSN.1000-5013.2010.01.0113]
CAO Jun-yan,WANG Quan-yi.The Existence of Positive Solutions for Second-Order Two-Point Boundary Value Problem[J].Journal of Huaqiao University(Natural Science),2010,31(6):113.[doi:10.11830/ISSN.1000-5013.2010.01.0113]
[2]林秋莲,王全义.一类二阶奇异微分方程三点积分边值问题的正解[J].华侨大学学报(自然科学版),2012,33(2):212.[doi:10.11830/ISSN.1000-5013.2012.02.0212]
LIN Qiu-lian,WANG Quan-yi.Positive Solutions of Three-Point Integral Boundary Value Problems for A Kind of Second-Order Singular Differential Equations[J].Journal of Huaqiao University(Natural Science),2012,33(6):212.[doi:10.11830/ISSN.1000-5013.2012.02.0212]
[3]邹黄辉,王全义.非线性奇异三阶两点边值问题单调正解的存在性[J].华侨大学学报(自然科学版),2012,33(6):699.[doi:10.11830/ISSN.1000-5013.2012.06.0699]
ZOU Huang-hui,WANG Quan-yi.Existence on Monotone Positive Solutions for Nonlinear Singular Third Order Two-Point Boundary Value Problems[J].Journal of Huaqiao University(Natural Science),2012,33(6):699.[doi:10.11830/ISSN.1000-5013.2012.06.0699]
[4]林秋莲,王全义.一类具有积分边值条件的二阶奇异微分方程正解的存在性[J].华侨大学学报(自然科学版),2013,34(6):696.[doi:10.11830/ISSN.1000-5013.2013.06.0696]
LIN Qiu-lian,WANG Quan-yi.Existence of Positive Solutions for A Class of Second Order Singular Differential Equations with Nonlinear Integral Boundary Conditions[J].Journal of Huaqiao University(Natural Science),2013,34(6):696.[doi:10.11830/ISSN.1000-5013.2013.06.0696]
[5]王全义,邹黄辉.一类n阶非线性三点边值问题单调正解的存在性[J].华侨大学学报(自然科学版),2014,35(3):344.[doi:10.11830/ISSN.1000-5013.2014.03.0344]
WANG Quan-yi,ZOU Huang-hui.Monotone Positive Solutions for A Class of nth Order Nonlinear Three-Point Boundary Value Problems[J].Journal of Huaqiao University(Natural Science),2014,35(6):344.[doi:10.11830/ISSN.1000-5013.2014.03.0344]
[6]薛雷.一类常微分方程的数值解法[J].华侨大学学报(自然科学版),2017,38(1):131.[doi:10.11830/ISSN.1000-5013.201701026]
XUE Lei.Numerical Solution for Class of Ordinary Differential Equations[J].Journal of Huaqiao University(Natural Science),2017,38(6):131.[doi:10.11830/ISSN.1000-5013.201701026]
[7]陈应生,汪东树.一阶非线性脉冲微分方程两点边值问题的正解[J].华侨大学学报(自然科学版),2013,34(1):106.[doi:10.11830/ISSN.1000-5013.2013.01.0106]
CHEN Ying-sheng,WANG Dong-shu.Positive Solutions of Impulsive Boundary Value Problems for First-Order Two-Point Nonlinear Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2013,34(6):106.[doi:10.11830/ISSN.1000-5013.2013.01.0106]
[8]陈东晓,陈应生.二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),2013,34(5):586.[doi:10.11830/ISSN.1000-5013.2013.05.0586]
CHEN Dong-xiao,CHEN Ying-sheng.Existence Positive Solutions of Boundary Value Problems for Second Order Differential Equations with Integral Conditions[J].Journal of Huaqiao University(Natural Science),2013,34(6):586.[doi:10.11830/ISSN.1000-5013.2013.05.0586]
[9]王全义,邹黄辉.一类四阶奇异非线性积分边值问题正解的存在性[J].华侨大学学报(自然科学版),2014,35(1):112.[doi:10.11830/ISSN.1000-5013.2014.01.0112]
WANG Quan-yi,ZOU Huang-hui.Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems[J].Journal of Huaqiao University(Natural Science),2014,35(6):112.[doi:10.11830/ISSN.1000-5013.2014.01.0112]