Positive solutions of some nonlocal boundary value problems

Abstract and Applied Analysis

Volumn 2003, Issue 18, 2003, Pages 1047-1060

  Infante, Gennaro ^a   Webb, J R L ^b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842449636     PISSN: 10853375     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1085337503301034     Document Type: Article

References (14)

1. A. V. Bitsadze and A. A. Samarskii, On some simple generalizations of linear elliptic boundary problems, Soviet Math. Dokl. 10 (1969), no. 2, 398-400.
2. D. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Notes and Reports in Mathematics in Science and Engineering, vol. 5, Academic Press, Massachusetts, 1988.
3. C. P. Gupta, A generalized multi-point boundary value problem for second order ordinary differential equations, Appl. Math. Comput. 89 (1998), no. 1-3, 133-146.
4. C. P. Gupta, S. K. Ntouyas, and P. Ch. Tsamatos, On an m-point boundary-value problem for second-order ordinary differential equations, Nonlinear Anal. 23 (1994), no. 11, 1427-1436.
5. C. P. Gupta and S. I. Trofimchuk, Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator, Nonlinear Anal. 34 (1998), no. 4, 489-507.
6. X. He and W. Ge, Triple solutions for second-order three-point boundary value problems, J. Math. Anal. Appl. 268 (2002), no. 1, 256-265.
7. V. A. Il'in and E. I. Moiseev, Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects, Differ. Equ. 23 (1987), no. 7, 803-810.
8. K. Q. Lan, Multiple positive solutions of semilinear differential equations with singularities, J. London Math. Soc. (2) 63 (2001), no. 3, 690-704.
9. K. Q. Lan and J. R. L. Webb, Positive solutions of semilinear differential equations with singularities, J. Differential Equations 148 (1998), no. 2, 407-421.
10. R. Ma, Positive solutions of a nonlinear three-point boundary-value problem, Electron. J. Differential Equations 1999 (1999), no. 34, 1-8.
11. _, Positive solutions of a nonlinear m-point boundary value problem, Comput. Math. Appl. 42 (2001), no. 6-7, 755-765.
12. R. Ma and N. Castaneda, Existence of solutions of nonlinear m-point boundary-value problems, J. Math. Anal. Appl. 256 (2001), no. 2, 556-567.
13. P. K. Palamides, Positive and monotone solutions of an m-point boundary-value problem, Electron. J. Differential Equations 2002 (2002), no. 18, 1-16.
14. J. R. L. Webb, Positive solutions of some three point boundary value problems via fixed point index theory, Nonlinear Anal. 47 (2001), 4319-4332.