Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems

Applied Mathematics and Computation

Volumn 198, Issue 2, 2008, Pages 487-493

  Du, Xinsheng ^a   Zhao, Zengqin ^a  

^a QUFU NORMAL UNIVERSITY   (China)

Author keywords

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

Indexed keywords

CONTROL NONLINEARITIES; PROBLEM SOLVING; THEOREM PROVING;

LOWER SOLUTIONS; MAXIMUM PRINCIPLES; POSITIVE SOLUTIONS; SECOND ORDER SINGULAR M POINT BOUNDARY VALUE PROBLEMS; UPPER SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 40849141315     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.080     Document Type: Article

References (6)

1. Zhao Z. On the existence of positive solutions for 2n-order singular boundary value problems. Nonlinear Analysis 64 (2006) 2553-2561
2. Du X., and Zhao Z. A necessary and sufficient condition of positive solutions to singular sublinear three-point boundary value problems. Applied Mathematics and Computation 186 (2007) 404-413
3. Du X., and Zhao Z. On existence theorems of positive solutions to nonlinear singular differential equations. Applied Mathematics and Computation 190 (2007) 542-552
4. Wei Z. A necessary and sufficient condition for the existence of positive solutions of singular super-linear m-point boundary value problems 179 (2006) 67-78
5. Zhang Y. Positive solutions of singular sublinear Emden-Fowler boundary value problems. Journal of Mathematical Analysis and Application 185 (1994) 215-222
6. Hartman P. Ordinary Differential Equations. second ed. (1982), Brikhauser, Boston