과제정보
연구 과제 주관 기관 : National Natural Science Foundation of China
참고문헌
- A. R. Aftabizadeh, Existence and uniqueness theorems for fourth order boundary problems, J. Math. Anal. Appl. 116 (1986), 415-426. https://doi.org/10.1016/S0022-247X(86)80006-3
- Z. B. Bai, The upper and lower solution method for some fourth-order boundary value problems, Nonlinear Analysis 67 (2007), 1704-1709. https://doi.org/10.1016/j.na.2006.08.009
- Y. Cui and Y. Zou, Positive solutions of singular fourth-order boundary-value problems, Electronic Journal of Differential Equations Vol. 2006 (2006), No. 39, 1-10.
- J. Ge and C. Bai, Solvability of a four-point boundary-value problem for fourth-order ordinary differential equations, Electronic Journal of Differential Equations Vol. 2007 (2007), No. 123, 1-9.
- D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, New York, 1988.
- C. P. Gupta, Existence and uniqueness theorem for a bending of an elastic beam equation, Appl. Anal. 26 (1988), 289-304. https://doi.org/10.1080/00036818808839715
- G. D. Han and Z. B. Xu, Multiple solutions of some nonlinear fourth-order beam equations, Nonlinear Analysis 68 (2008), 3646-3656. https://doi.org/10.1016/j.na.2007.04.007
- P. S. Kelevedjiev, P. K. Palamides and N. I. Popivanov, Another understanding of fourth-order four-point boundary-value problems, Electronic Journal of Differential Equations Vol. 2008 (2008), No. 47, 1-15.
- B. Liu, Positive solutions of fourth-order two point boundary value problems, Appl. Math. Comput. 148 (2004), 407-420. https://doi.org/10.1016/S0096-3003(02)00857-3
- R. Ma, Nodal solutions of boundary value problems of fourth-order ordinary differential equations, J. Math. Anal. Appl. 319 (2006), 424-434. https://doi.org/10.1016/j.jmaa.2005.06.045
- Q. L. Yao, Existence and multiplicity of positive solutions to a singular elastic beam equation rigidly fixed at both ends, Nonlinear Analysis 69 (2008), 2683-2694. https://doi.org/10.1016/j.na.2007.08.043
- Q. L. Yao, Monotonically interative method of nonlinear cantilever beam equations, Appl. Math. Comput. 205 (2008), 432-437. https://doi.org/10.1016/j.amc.2008.08.044
- C. Yuan, D. Jiang and Donal O'Regan, Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete boundary value problems, Appl. Math. Comput. 203 (2008), 194-201. https://doi.org/10.1016/j.amc.2008.04.034
- X. Zhang, L. Liu and J. Jiang, Positive solutions of fourth-order Sturm-Liouville boundary value problems with changing sign nonlinearity, Nonlinear Analysis 69 (2008), 4764-4774. https://doi.org/10.1016/j.na.2007.11.026
- Y. Zhong, S. Chen and C. Wang, Existence results for a fourth-order ordinary differential equation with a four-point boundary condition, Appl. Math. Lett. 21 (2008), 465-470. https://doi.org/10.1016/j.aml.2007.03.029