Positive solutions for (n - 1, 1) conjugate boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 28, Issue 10, 1997, Pages 1669-1680

  Eloe, Paul W ^a   Henderson, Johnny ^b  

^a UNIVERSITY OF DAYTON   (United States)

^b AUBURN UNIVERSITY   (United States)

Author keywords

Boundary value problem; Cone; Sublinear; Superlinear

Indexed keywords

BOUNDARY CONDITIONS; GEOMETRY; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING;

CONJUGATE BOUNDARY VALUE PROBLEMS; DIRICHLET PROBLEM; POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0031146437     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00238-Q     Document Type: Article

References (15)

1. DE FIGUEIREDO D. G., LIONS P.-L. & NUSSBAUM R. D., A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. pures appl. 61, 41-63 (1982).
2. KUIPER H. J., On positive solutions of nonlinear elliptic eigenvalue problems, Rc. mat. Circ. Palermo II (II), 113-138 (1979).
3. SANCHEZ L., Positive solutions for a class of semilinear two-point boundary value problems, Bull. Aust. math. Soc. 45, 439-451 (1992).
4. FINK A. M., GATICA J. A. & HERNANDEZ G. E., Eigenvalues of generalized Gel'fand models, Nonlinear Analysis 20, 1453-1468 (1993).
5. CHYAN C. J., Positive solution of a system of higher order boundary value problems, Pan. Am. math. J. 3, 79-88 (1993).
6. BANDLE C., COFFMAN C. V. & MARCUS M., Nonlinear elliptic problems in annular domains, J. diff. Eqns. 69, 322-345 (1987).
7. BANDLE C. & KWONG M. K., Semilinear elliptic problems in annular domains, J. appl. Math. Phys. 40, 245-257 (1989).
8. ERBE L. H. & WANG H., On the existence of positive solutions of ordinary differential equations, Proc. Am. math. Soc. 120, 743-748 (1994).
9. ERBE L. H. & WANG H., Existence and nonexistence of positive solutions in annular domains, WSSIAA 3, 207-217 (1994).
10. GARAIZER X., Existence of positive radial solutions for semilinear elliptic problems in the annulus, J. diff. Eqns 70, 69-92 (1987).
11. ELOE P. W. & HENDERSON J., Positive solutions for higher order ordinary differential equations, Elec. J. diff. Eqns 3, 1-8 (1995).
12. ELOE P. W., HENDERSON J. & WONG P. J. Y., Positive solutions for two-point boundary value problems, Dyn. Sys. Applic. (to appear).
13. KRASNOSEL'SKII M. A., Positive Solutions of Operator Equations. Noordhoff, Groningen (1964).
14. COPPEL W., Disconjugacy, Lecture Notes in Mathematics, Vol. 220. Springer, Berlin (1971).
15. CODDINGTON E. A. & LEVINSON N., Theory of Ordinary Differential Equations. McGraw-Hill, New York (1955).