Some new results for singular problems with sign changing nonlinearities

Journal of Computational and Applied Mathematics

Volumn 113, Issue 1, 2000, Pages 1-15

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

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Growth restriction; Nonlinear alternative; Singular boundary value problems; Upper and lower solutions

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL MODELS; THEOREM PROVING;

SIGN CHANGING NONLINEARITIES;

BOUNDARY VALUE PROBLEMS;

EID: 0033876875     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00239-3     Document Type: Article

References (10)

1. R.P. Agarwal, D. O'Regan, Positive solutions to superlinear singular boundary value problems, J. Comput. Appl. Math. 88 (1998) 129.
2. R.P. Agarwal, D. O'Regan, Singular initial and boundary value problems with sign changing nonlinearities, submitted for publication.
3. R.P. Agarwal, D. O'Regan, P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer, Dordrecht, 1999.
4. J. Dugundji, A. Granas, Fixed Point Theory, Monografie Matematyczne, Warsaw, 1982.
5. P.W. Eloe, J. Henderson, Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlinear Anal. 17 (1991) 1.
6. P. Habets, F. Zanolin, Upper and lower solutions for a generalized Emden-Fowler equation, J. Math. Anal. Appl. 181 (1994) 684.
7. C.D. Luning, W.L. Perry, Iterative solutions of negative exponent Emden-Fowler problems, Int. J. Math. Math. Sci. 13 (1990) 159.
8. D. O'Regan, Singular differential equations with linear and nonlinear boundary conditions, Comput. Math. Appl. 35 (3) (1998) 81.
9. S. Taliaferro, A nonlinear singular boundary value problem, J. Nonlinear Anal. 3 (1979) 897.
10. A. Tineo, Existence theorems for a singular two point Dirichlet problem, J. Nonlinear Anal. 19 (1992) 323.