Positive solutions for second-order m-point boundary value problems

Journal of Computational and Applied Mathematics

Volumn 151, Issue 2, 2003, Pages 415-424

  Guo, Yanping ^a,b   Shan, Wenrui ^a   Ge, Weigao ^a  

^a BEIJING INSTITUTE OF TECHNOLOGY   (China)

^b HEBEI UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

M Point boundary value problem; Positive solution; Schauder fixed point therem

Indexed keywords

BOUNDARY VALUE PROBLEMS; NUMERICAL ANALYSIS; THEOREM PROVING;

FIXED POINT THEOREM;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0037442108     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00739-2     Document Type: Article

References (9)

1. W. Feng, J.R.L. Webb, Solvability of a m-point boundary value problems with nonlinear growth, J. Math. Anal. Appl. 212 (1997) 467-480.
2. W. Feng, On a m-point nonlinear boundary value problem, Nonlinear Anal. 30 (6) (1997) 5369-5374.
3. C.P. Gupta, Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation, J. Math. Anal. Appl. 168 (1992) 540-551.
4. C.P. Gupta, A sharper condition for the solvability of a three-point second order boundary value problem, J. Math. Anal. Appl. 205 (1997) 579-586.
5. C.P. Gupta, A generalized multi-point boundary value problem for second order ordinary differential equations, Appl. Math. Comput. 89 (1998) 133-146.
6. V.A. Il'in, E.I. Moiseev, Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator, Differential Equations 23 (8) (1987) 979-987.
7. R. Ma, Positive solutions of a nonlinear three-point boundary value problem, Electron. J. Differential Equations 34 (1999) 1-8.
8. R. Ma, Existence theorems for a second order m-point boundary value problem, J. Math. Anal. Appl. 211 (1997) 545-555.
9. R. Ma, Positive solutions for second order three-point boundary value problems, Appl. Math. Lett. 14 (2001) 1-5.