Discrete third-order three-point right-focal boundary value problems

Computers and Mathematics with Applications

Volumn 45, Issue 6-9, 2003, Pages 861-871

  Anderson, D R ^a  

^a and Exercise Science   (United States)

Author keywords

Cone; Difference equations; Eigenvalues; Fixed points; Green's function; Multiple solutions

Indexed keywords

BOUNDARY CONDITIONS; CONES; DIFFERENCE EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; GREEN'S FUNCTION; PROBLEM SOLVING; THEOREM PROVING;

DISCRETE THIRD-ORDER THREE-POINT RIGHT-FOCAL BOUNDARY VALUE PROBLEMS; FIXED POINTS;

BOUNDARY VALUE PROBLEMS;

EID: 0038070310     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80157-8     Document Type: Article

References (19)

1. D. Anderson, R.I. Avery and A.C. Peterson, Three positive solutions to a discrete focal boundary value problem, Journal of Computational and Applied Mathematics 88, 103-118, (1998).
2. D. Anderson and R.I. Avery, Multiple positive solutions to a third order discrete focal boundary value problem, Computers Math. Applic. 42 (3-5), 333-340, (2001).
3. D. Anderson, Multiple positive solutions for a three-point boundary value problem, Mathl. Comput. Modelling 27 (6), 49-57, (1998).
4. J.M. Davis, J. Henderson, K.R. Prasad and W. Yin, Eigenvalue intervals for nonlinear right focal problems, Appl. Anal. 74, 215-231, (2000).
5. R.P. Agarwal, M. Bohner and P.J.Y. Wong, Positive solutions and eigenvalues of conjugate boundary value problems, Proceedings of the Edinburgh Mathematical Society 42, 349-374, (1999).
6. R.P. Agarwal and D. O'Regan, Multiple solutions for higher-order difference equations, Computers Math. Applic. 37 (9), 39-48, (1999).
7. R.P. Agarwal and D. O'Regan, Multiple solutions for the Dirichlet second-order boundary value problem of nonsingular type, Computers Math. Applic. 37 (8), 99-106, (1999).
8. R.P. Agarwal, D. O'Regan and V. Lakshmikantham, Multiple solutions for continuous and discrete boundary value problems, Nonlinear Studies 6 (2), 151-159, (1999).
9. R.I. Avery, Existence of multiple positive solutions to a conjugate boundary value problem, MSR Hot-Line 2, 1-6, (1998).
10. R.I. Avery and A.C. Peterson, Multiple positive solutions of a discrete second order conjugate problem, PanAmerican Mathematical Journal 8, 1-12, (1998).
11. P.J.Y. Wong and R.P. Agarwal, Existence of multiple positive solutions of discrete two-point right focal boundary value problems, Journal of Difference Equations and Applications 5, 517-540, (1999).
12. R.P. Agarwal, P.J.Y. Wong and D. O'Regan, Positive Solutions of Differential, Difference, & Integral Equations, Kluwer Academic, Boston, MA, (1999).
13. D. Anderson, Positivity of Green's function for an n-point right focal boundary value problem on measure chains, Mathl. Comput. Modelling 31 (6/7), 29-50, (2000).
14. M.A. Krasnoselskii, Positive Solutions of Operator Equations, Noordhoff, Groningen, (1964).
15. J. Henderson, Multiple solutions for 2mth order Sturm-Liouville boundary value problems on a measure chain, Journal of Difference Equations and Applications 6, 417-429, (2000).
16. R.I. Avery, A generalization of the Leggett-Williams fixed point theorem, MSR Hot-Line 2, 9-14, (1998).
17. L.H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120, 743-748, (1994).
18. D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, San Diego, CA, (1988).
19. R.W. Leggett and L.R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana University Mathematics Journal 28, 673-688, (1979).