Higher order semipositone multi-point boundary value problems on time scales

Computers and Mathematics with Applications

Volumn 60, Issue 1, 2010, Pages 23-35

  Dogan, Abdulkadir ^a   Graef, John R ^b   Kong, Lingju ^b  

^a NIGDE UNIVERSITY   (Turkey)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

Multi point boundary condition; Positive solutions; Semipositone boundary value problems

Indexed keywords

HIGHER ORDER; MULTIPOINT BOUNDARY VALUE PROBLEMS; ON TIME; POSITIVE SOLUTION; SEMIPOSITONE; SEMIPOSITONE BOUNDARY VALUE PROBLEMS; TIME-SCALES;

BOUNDARY CONDITIONS; ORDINARY DIFFERENTIAL EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 77953132680     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.04.026     Document Type: Article

References (19)

1. Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
2. Bohner M., and Peterson A. Dynamic Equations on Time Scales, an Introduction with Applications (2001), Birkhäuser, Boston
3. In: Bohner M., and Peterson A. (Eds). Advances in Dynamic Equations on Time Scales (2003), Birkhäuser, Boston
4. Anderson D.R., Avery R., and Henderson J. Existence of solutions for a one-dimensional p-Laplacian on time scales. J. Difference Equ. Appl. 10 (2004) 889-896
5. Han W., Jin Z., and Kang S. Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales. J. Comput. Appl. Math. 233 (2009) 188-196
6. Kaufmann E.R. Positive solutions of a three-point boundary value problem on a time scale. Electron. J. Differential Equations 82 (2003) 1-11
7. Kong L., and Kong Q. Positive solutions for nonlinear m-point boundary value problems on a measure chain. J. Difference Equ. Appl. 9 (2003) 615-627
8. Sang Y., Su H., and Xu F. Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales. Comput. Math. Appl. 58 (2009) 216-226
9. Sun H. Triple positive solutions for p-Laplacian m-point boundary value problem on time scales. Comput. Math. Appl. 58 (2009) 1736-1741
10. Zhu Y., and Zhu J. The multiple positive solutions for p-Laplacian multipoint BVP with sign changing nonlinearity on time scales. J. Math. Anal. Appl. 344 (2008) 616-626
11. A. Dogan, J.R. Graef, L. Kong, Higher order singular multi-point boundary value problems on time scales (submitted for publication).
12. Aris R. Introduction to the Analysis of Chemical Reactors (1965), Prentice Hall, New Jersey
13. Agarwal R.P., Grace S.R., and O'Regan D. Semipositone higher-order differential equations. Appl. Math. Lett. 17 (2004) 201-207
14. Anuradha V., Hai D.D., and Shivaji R. Existence results for superlinear semipositone BVP's. Proc. Amer. Math. Soc. 124 (1996) 757-763
15. Graef J.R., and Kong L. Positive solutions for third order semipositone boundary value problems. Appl. Math. Lett. 22 (2009) 1154-1160
16. Lan K.Q. Positive solutions of semi-positone Hammerstein integral equations and applications. Commun. Pure Appl. Anal. 6 (2007) 441-451
17. Ma R. Existence of positive solutions for superlinear semipositone m-point boundary value problems. Proc. Edinb. Math. Soc. 46 (2003) 279-292
18. Zhang X., Liu L., and Wu Y. Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems. Nonlinear Anal. 68 (2008) 97-108
19. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, Orlando