Twin solutions to singular Dirichlet problems

Journal of Mathematical Analysis and Applications

Volumn 240, Issue 2, 1999, Pages 433-445

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Dirichlet problem; fixed point theorems; multiple solutions; singular problems

Indexed keywords

EID: 0001717121     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6597     Document Type: Article

References (9)

1. Agarwal R. P., O'Regan D. Nonlinear superlinear singular and nonsingular second order boundary value problems. J. Differential Equations. 143:1998;60-95.
2. R. P. Agarwal, and, D. O'Regan, Twin solutions to singular boundary value problems, Proc. Amer. Math. Soc, to appear.
3. Deimling K. Nonlinear Functional Analysis. 1985;Springer-Verlag, New York.
4. Eloe P. W., Henderson J. Singular nonlinear boundary value problems for higher order ordinary differential equations. Nonlinear Anal. 17:1991;1-10.
5. Eloe P. W., Henderson J. Inequalities based on a generalization of concavity. Proc. Amer. Math. Soc. 125:1997;2103-2107.
6. Erbe L. H., Hu S., Wang H. Multiple positive solutions of some boundary value problems. J. Math. Anal. Appl. 184:1994;640-648.
7. O'Regan D. Existence of nonnegative solutions to superlinear non-positone problems via a fixed point theorem in cones of Banach spaces. Dynamics of Continuous, Discrete and Impulsive Systems. 3:1997;517-530.
8. O'Regan D. Existence Theory for Nonlinear Ordinary Differential Equations. 1997;Kluwer, Dordrecht.
9. O'Regan D. Existence principles and theory for singular Dirichlet boundary value problems. Differential Equations Dynam. Systems. 3:1995;289-304.