On existence theorems of positive solutions to nonlinear singular differential equations

Applied Mathematics and Computation

Volumn 190, Issue 1, 2007, Pages 542-552

  Du, Xinsheng ^a   Zhao, Zengqin ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

Lower and upper solution; Maximum principle; Positive solution; Second order singular three point boundary value problems

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; MAXIMUM PRINCIPLE; NONLINEAR ANALYSIS; THEOREM PROVING;

LOWER AND UPPER SOLUTION; POSITIVE SOLUTION;

DIFFERENTIAL EQUATIONS;

EID: 34249829607     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.073     Document Type: Article

References (11)

1. Gupta C.P. Solvability of a three-point boundary value problems for a second order ordinary differential equation. Journal of Mathematics Analysis and Applications 168 (1992) 540-551
2. Gupta C.P. A sharper condition for solvability of a three-point boundary value problem. Journal of Mathematics Analysis and Applications 205 (1997) 586-597
3. Gupta C.P. A generalized multi-point boundary value problem for second order ordinary differential equations. Applied Mathematics and Computations 89 (1998) 133-146
4. Ma R. Positive solutions for second order three-point boundary value problem. Applied Mathematics Letters 14 (2001) 1-5
5. Ma R. Existence theorems for a second order m-point boundary value problem. Journal of Mathematics Analysis and Applications 21 (1997) 545-555
6. Yao Q. Successive iteration and positive solution for nonlinear second-order three-point boundary value problems. Journal of Computational and Applied Mathematics 50 (2005) 433-444
7. Zhang Y. Positive solutions of singular sublinear Emden-Fowler boundary value problems. Journal of Mathematics Analysis and Applications 185 (1994) 215-222
8. Zhang Z., and Wang J. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems. Journal of Computational and Applied Mathematics 147 (2002) 41-52
9. Zhongli Wei, Positive solutions of some singular sub-linear three-point boundary value problems, Acta Mathematica Scientia, English Series, in press.
10. Zhao Z. A necessary and sufficient condition for the existence of positive solution to singular sublinear boundary value problems. Acta Mathematicae Applicatae Sinica 43 (1998) 1025-1034 (in Chinese)
11. Hartman P. Ordinary differential equations. second ed. (1982), Brikhauser, Boston