Zhao, ChenglongYuan, YanyanLiu, Yansheng2021-07-142021-07-142006-01-19Zhao, C., Yuan, Y., & Liu, Y. (2006). A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(08), pp. 1-19.1072-6691https://hdl.handle.net/10877/13881By constructing some special cones and using fixed point theorem of cone expansion and compression, this paper presents some necessary and sufficient conditions for the existence of C4n-2 positive solutions to a class of singular boundary-value problems. Some examples are presented to illustrate our main results.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalSingular sublinear boundary-value problemPositive solutionFixed point theoremConeHigher order differential equationArticle