Eigenvalue characterization for a system of third-order generalized right focal problems

Dynamic Systems and Applications

Volumn 15, Issue 1, 2006, Pages 173-192

  Wong, Patricia J Y ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

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EID: 33644775965     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. R. P. Agarwal, Focal Boundary Value Problems for Differential and Difference Equations, Kluwer, Dordrecht, 1998.
2. R. P. Agarwal, M. Bohner and P. J. Y. Wong, Positive solutions and eigenvalues of conjugate boundary value problems. Proc. Edinburgh Math. Soc. (Series 2) 42 (1999), 349-374.
3. R. P. Agarwal, J. Henderson and P. J. Y. Wong, On superlinear and sublinear (n, p) boundary value problems for higher order difference equations. Nonlinear World 4 (1997), 101-115.
4. R. P. Agarwal, D. O'Regan and P. J. Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer, Dordrecht, 1999.
5. R. P. Agarwal and P. J. Y. Wong, Advanced Topics in Difference Equations, Kluwer, Dordrecht, 1997.
6. D. Anderson, Green's function for a third-order generalized right focal problem, J. Math. Anal. Appl. 288 (2003), 1-14.
7. D. Anderson and J. Davis, Multiple solutions and eigenvalues for third order right focal boundary value problems, J. Math. Anal. Appl. 267 (2002), 135-157.
8. J. V. Baxley and P. T. Carroll, Nonlinear boundary value problems with multiple positive solutions, Discrete Contin. Dyn. Syst., Vol suppl. (2003), 83-90.
9. J. V. Baxley and C. R. Houmand, Nonlinear higher order boundary value problems with multiple positive solutions, J. Math. Anal. Appl. 286 (2003), 682-691.
10. J. M. Davis, J. Henderson, K. R. Prasad and W. Yin, Eigenvalue intervals for nonlinear right focal problems, Applicable Analysis 74 (2000), 215-231.
11. P. W. Eloe and J. Henderson, Positive solutions and nonlinear (k, n - k) conjugate eigenvalue problems, Diff. Eqns. Dyn. Sys. 6(1998), 309-317.
12. L. H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120 (1994), 743-748.
13. J. R. Graef and J. Henderson, Double solutions of boundary value problems for 2mth-order differential equations and difference equations, Comput. Math. Appl. 45 (2003), 873-885.
14. J. R. Graef, C. Qian and B. Yang, A three point boundary value problem for nonlinear fourth order differential equations, J. Math. Anal. Appl. 287 (2003), 217-233.
15. M. A. Krasnosel'skii, Positive Solutions of Operator Equations, Noordhoff, Groningen, 1964
16. W. Lian, F. Wong and C. Yeh, On the existence of positive solutions of nonlinear second oer differential equations, Proc. Amer. Math. Soc. 124 (1996), 1117-1126.
17. D. O'Regan and M. Meehan, Existence Theory for Nonlinear Integral and Integrodifferential Equations, Kluwer, Dordrecht, 1998.
18. P. J. Y. Wong, Constant-sign solutions for a system of third-order generalized right focal problems, Preprint.
19. P. J. Y. Wong, Two-point right focal eigenvalue problems for difference equations, Dynamic Systems and Applications 7 (1998), 345-364.
20. P. J. Y. Wong, Positive solutions of difference equations with two-point right focal boundary conditions, J. Math. Anal. Appl. 224 (1998), 34-58.
21. P. J. Y. Wong and R. P. Agarwal, Existence of multiple positive solutions of discrete two-point right focal boundary value problems, J. Difference Equ. Appl. 5 (1999), 517-540.