Nonnegative solutions of singular boundary value problems with sign changing nonlinearities

Computers and Mathematics with Applications

Volumn 46, Issue 12, 2003, Pages 1827-1837

  Agarwal, R P ^a   Stanek S ^b  

^a Florida Institute of Technology ^*  (United States)

^b PALACKÝ UNIVERSITY   (Czech Republic)

Author keywords

Positive solution; Sign changing nonlinearity; Singular Dirichlet problem; Singular mixed problem

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; INTEGRATION; PROBLEM SOLVING; THEOREM PROVING;

NONNEGATIVE SOLUTIONS; SIGN CHANGING NONLINEARITIES; SINGULAR BOUNDARY VALUE PROBLEMS; SINGULAR DIRICHLET PROBLEM; SINGULAR MIXED PROBLEM;

BOUNDARY VALUE PROBLEMS;

EID: 0345566287     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)90239-2     Document Type: Article

References (13)

1. R.P. Agarwal and D. O'Regan, A note on existence of negative solutions to singular semi-positone problems, Nonlin. Anal. 36, 615-622, (1999).
2. D. O'Regan, Theory of Singular Boundary Value Problems, World Scientific, Singapore, (1994).
3. S. Staněk, Positive solutions of singular positone Dirichlet boundary value problems, Math. Comput. Modelling 33 (4/5), 341-351, (2001).
4. S. Staněk, Positive solutions of singular Dirichlet and periodic boundary value problems, Mathl. Comput. Modelling 43 (6/7), 681-692, (2002).
5. R.P. Agarwal and D. O'Regan, Some new results for singular problems with sign changing nonlinearities, J. Comput. Appl. Math. 113, 1-15, (2000).
6. R.P. Agarwal and D. O'Regan, Singular initial and boundary value problems with sign changing nonlinearities, IMA J. Appl. Math. 65, 173-198, (2000).
7. A. Lomtatidze, Positive solutions of boundary value problems for second order differential equations with singular points, Differentsial'nye Uravneniya 23, 1685-1692, (1987).
8. A. Lomtatidze and P. Torres, On a two-point boundary value problem for second order singular equations, (preprint).
9. J. Wang and W. Gao, A note on singular two-point boundary value problems, Nonlin. Anal. 39, 281-287, (2000).
10. R. Kannan and D. O'Regan, Singular and nonsingular boundary value problems with sign changing nonlinearities, J. Inequal. & Appl. 5, 621-637, (2000).
11. R.P. Agarwal, D. O'Regan and V. Laksmikantham, An upper and lower solution approach for nonlinear singular boundary value problems with y′ dependence, Archives Inequal. Appl. 1, 119-135, (2003).
12. D. O'Regan and R.P. Agarwal, Singular problems: An upper and lower solution approach, J. Math. Anal. Appl. 251, 230-250, (2000).
13. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, (1985).