Triple positive solutions for a class of two-point boundary-value problems

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-8

  Bai, Zhanbing ^a,b   Wang, Yifu ^a   Ge, Weigao ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

Boundary value problem; Fixed point theorem; Triple positive solutions

Indexed keywords

EID: 3042696725     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. R. P. Agarwal, D. O'Regan, and P.J.Y. Wong; Positive Solutions of Differential, Difference, and Integral Equations, Kluwer Academic Publishers, Boston, 1999.
2. R. I. Avery, A generalization of the Leggett-Williams fixed point theorem Math. Sci. Res. Hot-line 2 (1998) 9-14.
3. R. I. Avery and D.R. Anderson; Fixed point theorem of cone expansion and compression of functional type J. Diff. Equa. Appl. 8 (2002) 1073-1083.
4. R. I. Avery and J. Henderson; Three sysmmetric positive solutions for a second-order boundary-value problem Appl. Math. Lett. 13 (2000) 1-7.
5. R. I. Avery and J. Henderson; Two positive fixed points of nonlinear operators on ordered Banach spaces (preprint).
6. R. I. Avery and A. C. Peterson; Three positive fixed points of nonlinear operators on ordered Banach spaces Comput. Math. Appl. 42 (2001) 313-322.
7. Z. B. Bai and H. Y. Wang; On positive solutions of some nonlinear fourth-order beam equations J. Math. Anal. Appl. 270 (2002) 357-368.
8. D. Guo and V. Lakshmikantham; Nonlinear Problems in Abstract Cones, Academic Press, New York, 1988.
9. J. Henderson and H. Y. Wang; Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 (1997) 252-259.
10. R. W. Leggett and L. R. Williams; Multiple positive fixed points of nonlinear operators on ordered Banach spaces Indiana Univ. Math. J. 28 (1979) 673-688.
11. M. A. Krasnosel'skii; Positive Solutions of Operator Equations, Noordhoff, Gronignen, 1964.
12. W. C. Lian, F. H. Wong, and C. C. Yeh; On the existence of positive solutions of nonlinear second order differential equations Proc. Amer. Math. Soc. 124 (1996) 1117-1126.
13. Z. L. Liu and F. Y. Li; Multiple positive solutions of nonlinear two point boundary-value problem J. Math. Anal. Appl. 203 (1996) 610-625.
14. E. Zeidler, Nonlinear Analysis and Its Applications I: Fixed-Point Theorems, Springer-Verlag, New York, (1993).