Positive solutions of boundary-value problems for disfocal ordinary differential equations

Journal of Computational and Applied Mathematics

Volumn 88, Issue 1, 1998, Pages 71-78

  Eloe, Paul W ^a  

^a UNIVERSITY OF DAYTON   (United States)

Author keywords

Cone theoretic fixed point theorem; Disfocal ordinary differential equations; Multiple positive solutions; Positive solutions

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS; THEOREM PROVING;

CONE THEORETIC FIXED POINT THEOREM; DISFOCAL ORDINARY DIFFERENTIAL EQUATIONS; MULTIPLE POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0032000672     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00206-9     Document Type: Article

References (19)

1. R.P. Agarwal, J. Henderson, Superlinear and sublinear focal boundary value problems, Appl. Anal. 60 (1996) 189-200.
2. R.P. Agarwal, P.J.Y. Wong, Eigenvalues of boundary value problems for higher order difference equations, Math. Problems Eng. 2 (1996) 401-434.
3. R.P. Agarwal, P.J.Y. Wong, Eigenvalue characterization for (n, p) boundary value problems, J. Austral. Math. Soc. Ser. B. Appl. Math., to appear.
4. W.A. Coppel, Disconjugacy, Lecture Notes in Mathematics, Vol. 220, Springer, Berlin, 1971.
5. P.W. Eloe, J. Henderson, Positive solutions for higher order ordinary differential equations, Electronic J. Differential Equations 3 (1995) 1-8.
6. P.W. Eloe, J. Henderson, Positive solutions for (n - 1, 1) conjugate boundary value problems, Nonlinear Anal. 28 (1997) 1669-1680.
7. P.W. Eloe, J. Henderson, Proceedings of Dynamic Systems and Applications, Vol. 2, (G.S. Ladde, M. Sambandham (Eds.)) Dynamic Publ. Atlanta (1996) 135-144.
8. P.W. Eloe, J. Henderson, P.J.Y. Wong, Positive solutions for two-point boundary value problems, Dyn. Systems Appl. 2 (1996) 135-144 (G.S. Ladde, M. Sambandham (Eds.)).
9. L.H. Erbe, H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120 (1994) 743-748.
10. L.H. Erbe, H. Wang, Existence and nonexistence of positive solutions in annular regions, WSSIAA 3 (1994) 207-217.
11. L.H. Erbe, S. Hu, H. Wang, Multiple positive solutions of some boundary value problems, J. Math. Anal. Appl. 184 (1994) 640-648.
12. J.A. Gatica, V. Oliker, P. Waltman, Iterative procedures for nonlinear second order boundary value problems, Ann. Mat. Pura Appl. 157 (1989) 1-25.
13. J.A. Gatica, V. Oliker, P. Waltman, Singular nonlinear boundary value problems for second-order differential equations, J. Differential Equations 79 (1989) 62-78.
14. J. Henderson, E. Kaufmann, Multiple positive solutions for focal boundary value problems, Commun. Appl. Anal. 1 (1997) 53-60.
15. J. Henderson, H. Wang, Positive solutions for nonlinear eigenvalue problems, J. Math. Anal. Appl. 208 (1997) 252-259.
16. E. Kaufmann, Multiple positive solutions for higher order boundary value problems, Rocky Mountain J. Math., in press.
17. M.A. Krasnosel'skii, Positive Solutions of Operator Equations, Noordhoff, Gronongen, 1964.
18. Z. Nehari, Diconjugate linear operators, Trans. Amer. Math. Soc. 129 (1967) 500-516.
19. H. Wang, On the existence of positive solutions for semilinear elliptic equations in the annulus, J. Differential Equations 109 (1994) 1-7.