Existence of three positive solutions for some second-order boundary value problems

Computers and Mathematics with Applications

Volumn 48, Issue 5-6, 2004, Pages 699-707

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

^a CHINA UNIVERSITY OF PETROLEUM   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Boundary value problem; Fixed point theorem; Positive solution

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

FIXED-POINT THEOREM; GROWTH CONDITIONS; POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 14644394344     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.03.002     Document Type: Article

References (17)

1. R.P. Agarwal, D. O'Regan, and P.J.Y. Wong Positive Solutions of Differential, Difference, and Integral Equations 1999 Kluwer Academic New York
2. 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
3. D. Guo, and V. Lakshmikantham Nonlinear Problems in Abstract Cones 1988 Academic Press Boston, MA
4. J. Henderson, and H.Y. Wang Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 1997 252 259
5. 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
6. M.A. Krasnosel'skii Positive Solutions of Operator Equations 1964 Noordhoff New York
7. 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
8. 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
9. R.I. Avery A generalization of the Leggett-Williams fixed point theorem Math. Sci. Res. Hot-line 2 1998 9 14
10. R.I. Avery, and J. Henderson Three symmetric positive solutions for a second-order boundary value problem Appl. Math. Lett. 13 3 2000 1 7
11. 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
12. R.I. Avery and J. Henderson, Two positive fixed points of nonlinear operators on ordered Banach spaces,(preprint).
13. R.I. Avery, and A.C. Peterson Three positive fixed points of nonlinear operators on ordered Banach spaces Computers Math. Applic. 42 3-5 2001 313 322
14. G. Bonanno Existence of three solutions for a two point boundary value problem Appl. Math. Lett. 13 5 2000 53 57
15. G. Candito Existence of three solutions for a nonautonomous two point boundary value problem J. Math. Anal. Appl. 252 2000 532 537
16. J. Henderson, and H.B. Thompson Existence of multiple solutions for second order boundary value problems Journal of Differential Equations 166 2000 443 454
17. B. Ricceri Existence of three solutions for a class of elliptic eigenvalue problems Mathl. Comput. Modelling 32 11-13 2000 1485 1494