Positive solutions to a generalized second-order three-point boundary-value problem on time scales

Electronic Journal of Differential Equations

Volumn 2005, Issue , 2005, Pages 1-14

  Luo, Hua ^a   Ma, Qiaozhen ^a  

^a NORTHWEST NORMAL UNIVERSITY   (China)

Author keywords

Cone; Fixed points; Positive solutions; Three point boundary value problems; Time scales

Indexed keywords

EID: 14744305428     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. F. M. Atici and G. Sh. Guseinov; On Green's functions and positive solutions for boundary value problems on time scales, J. Comput. Appl. Math., 141(2002), 75-99.
2. R. I. Avery and D. R. Anderson; Existence of three positive solutions to a second-order boundary value problem on a measure chain, J. Comput. Appl. Math., 141(2002), 65-73.
3. R. P. Agarwal and D. O'Regan; Nonlinear boundary value problems on time scales, Nonlinear Anal., 44(2001), 527-535.
4. L. H. Erbe and A. C. Peterson; Positive solutions for a nonlinear differential equation on a measure chain, Mathematical and Computer Modelling, 32(2000), 571-585.
5. Ruyun Ma and Hua Luo; Existence of solutions for a two-point boundary value problem on time scales, Appl. Math. Comput., 150(2004), 139-147.
6. D. R. Anderson; Nonlinear triple-point problems on time scales, Electron. J. Differential Equations, 47(2004), 1-12.
7. D. R. Anderson and R. I. Avery; An even-order three-point boundary value problem on time scales, J. Math. Anal. Appl., 291(2004), 514-525.
8. E. R. Kaufmann; Positive solutions of a three-point boundary value problem on a time scale, Electron. J. Differential Equations, 82(2003), 1-11.
9. D. R. Anderson; Solutions to second order three-point problems on time scales, J. Difference Equations and Applications, 8(2002), 673-688.
10. Ruyun Ma; Positive solutions of a nonlinear three-point boundary-value problem, Electron. J. Differential Equations, 34(1999), 1-8.
11. Ruyun Ma and Y. N. Raffoul; Positive solutions of three-point nonlinear discrete second-order boundary value problem, J. Difference Equations and Applications 10(2004), 129-138.
12. S. Hilger; Analysis on measure chains - a unified approach to continuous and discrete calculus, Results Math., 18(1990), 18-56.
13. M. Bohner and A. C. Peterson, editors; Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston, 2003.
14. Dajun Guo and V. Lakshmikantham; Nonlinear problems in abstract cones, Academic Press, San Diego, 1988.
15. R. W. Leggett and L. R. Williams; Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana. University Math. J. 28(1979), 673-688.