Nonlinear Superlinear Singular and Nonsingular Second Order Boundary Value Problems

Journal of Differential Equations

Volumn 143, Issue 1, 1998, Pages 60-95

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

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001711641     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1997.3353     Document Type: Article

References (17)

1. Agarwal R. P., O'Regan D. Singular boundary value problems for superlinear second order ordinary and delay differential equations. J. Differential Equations. 130:1996;333-355.
2. Baxley J. V. Existence and uniqueness for nonlinear boundary value problems. J. Math. Anal. Appl. 147:1990;122-133.
3. Baxley J. V. Some singular nonlinear boundary value problems. SIAM J. Math. Anal. 22:1991;463-479.
4. Bobisud L. E., Calvert J. E., Royalty W. D. Some existence results for singular boundary value problems. Differential Integral Equations. 6:1993;553-571.
5. Bobisud L. E., O'Regan D. Existence of positive solutions for singular ordinary differential equations with nonlinear boundary conditions. Proc. Amer. Math. Soc. 124:1996;2081-2087.
6. Eloe P. W., Henderson J. Positive solutions for higher order ordinary differential equations. Electron J. Differential Equations. 3:1995;1-8.
7. Erbe L. H., Wang H. On the existence of positive solutions of ordinary differential equations. Proc. Amer. Math. Soc. 120:1994;743-748.
8. Fink A. M., Gatica J. A., Hernandez G. E. Eigenvalues of generalized Gelfand models. Nonlinear Anal. 20:1993;1453-1468.
9. Gatica J. A., Hernandez G., Waltman P. Radially symmetric solutions of a class of singular elliptic equations. Proc. Edinburg Math. Soc. 33:1990;169-180.
10. Gatica J. A., Oliker V., Waltman P. Singular nonlinear boundary value problems for second order differential equations. J. Differential Equations. 79:1989;62-78.
11. Luning C. D., Perry W. L. Positive solutions of negative exponent generalized Emden-Fowler boundary value problems. SIAM J. Math. Anal. 12:1981;874-879.
12. O'Regan D. Some existence principles and some general results for singular nonlinear two point boundary value problems. Jour. Math. Anal. Appl. 166:1992;24-40.
13. O'Regan D. Positive solutions to singular boundary value problems with at most linear growth. Appl. Anal. 49:1993;171-196.
14. O'Regan D. Theory of Singular Boundary Value Problems. 1994;World Scientific, Singapore.
15. O'Regan D. Existence principles and theory for singular Dirichlet boundary value problems. Differential Equations Dynam. Systems. 3:1995;289-304.
16. Taliaferro S. A nonlinear singular boundary value problem. Nonlinear Anal. 3:1979;897-904.
17. Wong P. J. Y., Agarwal R. P. On the existence of solutions of singular boundary value problems for higher order difference equations. Nonlinear Anal. 28:1997;277-287.