A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions
| dc.contributor.author | Zhang, Xinguang | |
| dc.contributor.author | Liu, L. | |
| dc.date.accessioned | 2017-01-30T13:20:58Z | |
| dc.date.available | 2017-01-30T13:20:58Z | |
| dc.date.created | 2014-11-19T01:13:46Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | Zhang, X. and Liu, L. 2010. A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions. Applied Mathematics and Computation. 215: pp. 3501-3508. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/30685 | |
| dc.identifier.doi | 10.1016/j.amc.2009.10.044 | |
| dc.description.abstract |
In this paper, we concert with the existence of positive solution for the following nonlinear singular differential system with four-point boundary conditions{-x''=f(t,y),ax(0)-ßx'(0)=dx(1)+?x'(1)=0,-y''=g(t,x),y(0)=ay(?1),y(1)=by(?2),where 0<?1<?2<1,a,ß,d,?,a,b are nonnegative constants such that ?=ß?+a?+ad>0. By structuring upper and lower solution and using Schauder fixed point theorem, a necessary and sufficient condition for the existence of positive solutions is established. An example is worked out to illustrate our main result. | |
| dc.publisher | Elsevier Inc. | |
| dc.subject | Schauder fixed point theorem | |
| dc.subject | Necessary and sufficient condition | |
| dc.subject | Differential systems | |
| dc.subject | Positive solutions | |
| dc.title | A necessary and sufficient condition of positive solutions for nonlinear singular differential systems with four-point boundary conditions | |
| dc.type | Journal Article | |
| dcterms.source.volume | 215 | |
| dcterms.source.startPage | 3501 | |
| dcterms.source.endPage | 3508 | |
| dcterms.source.issn | 0096-3003 | |
| dcterms.source.title | Applied Mathematics and Computation | |
| curtin.accessStatus | Fulltext not available |