Double positive solutions of fourth-order nonlinear boundary value problems

Applicable Analysis

Volumn 82, Issue 4, 2003, Pages 369-380

  Yuji, Liu ^a   Weigao, Ge ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Boundary Value Problem; Cone; Generalized Leggett Williams Fixed Point Theorem; Multiple Positive Solution

Indexed keywords

EID: 4344675067     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/0003681031000063685     Document Type: Article

References (6)

1. Graef, J.R., and Yang, B., 2000. Existence and non-existence of positive solutions of fourth-order non-linear boundary value problems. Appl. Anal., 74(1-2): 201–214.
2. Krasnosel'skii, M.A., 1964. Positive Solutions of Operator Equations, Groningen: Noordhoff.
3. Ma, R.Y., and Wang, H.Y., 1995. On the existence of positive solutions of fourth-order two point boundary problems. J. Math. Anal. Appl, 59: 225–231.
4. Ma, R.Y., Zhang, J., and Fu, S., 1997. The method of lower and upper solutions for fourth-order two point boundary value problems. J. Math. Anal. Appl., 215: 415–442.
5. Avery, R.I., Chyan, C.J., and Henderson, J., 2001. Twin positive solutions of boundary value problem for ordinary differential equations and finite difference equations. Computers and Mathematics With Applications, 42: 695–704.
6. Guo, D.J., Sun, J.X., and Liu, Zh. L., 1995. Functional Methods for Nonlinear Ordinary Differential Equations, Jinan: Shandong Science and Technology Press. (In Chinese)