Positive solutions for singular second order Neumann boundary value problems via a cone fixed point theorem

Applied Mathematics and Computation

Volumn 210, Issue 1, 2009, Pages 80-86

  Sun, Yan ^a   Cho, Yeol Je ^b   O'Regan, Donal ^c  

^a SHANGHAI NORMAL UNIVERSITY   (China)

^b Natural Sciences College of Education   (South Korea)

^c NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Fixed point theory; Positive solution; Singular Neumann boundary value problem

Indexed keywords

BOUNDARY VALUE PROBLEMS;

FIXED POINT THEOREMS; FIXED POINT THEORY; POSITIVE SOLUTION; SECOND ORDERS; SINGULAR NEUMANN BOUNDARY VALUE PROBLEM;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 61649092525     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.11.025     Document Type: Article

References (10)

1. Agarwal R.P., and O'Regan D. Nonlinear superlinear singular and nonsingular second order boundary value problems. J. Diff. Eq. 143 (1998) 60-95
2. Agarwal R.P., and O'Regan D. Positive solution for (p, n - p) conjugate boundary value problems. J. Diff. Eq. 150 (1998) 462-473
3. Agarwal R.P., and O'Regan D. Singular boundary value problems for superlinear second order and delay differential equations. J. Diff. Eq. 130 (1996) 335-355
4. Deimling K. Nonlinear Functional Analysis (1985), Springer-Verlag, New York
5. Dang H., and Oppenheimer S.F. Existence and uniqueness results for some nonlinear boundary value problems. J. Math. Anal. Appl. 198 (1996) 35-48
6. Jiang D., and Liu H. Existence of positive solutions for second order Neumann boundary value problems. J. Math. Res. Exposit. 20 (2000) 360-364
7. Ma R. Existence of positive radial solutions for elliptic systems. J. Math. Anal. Appl. 201 (1996) 375-386
8. O'Regan D. Singular Dirichlet boundary value problems - I superlinear, and nonresonant case. Nonlinear Anal. 29 (1997) 221-245
9. Rachunkova I., and Stanek S. Topological degree method in functional boundary value problems at resonance. Nonlinear Anal. 27 (1996) 271-285
10. Taliaferro S.D. A nonlinear singular boundary value problem. Nonlinear Anal. 3 (1979) 897-904