Scientific Research Publishing

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49146#.VDTrE1fHRK0 Author(s)    Ying He Affiliation(s) School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China . ABSTRACT By mixed monotone method, we establish the existence and uniqueness of positive solutions for fourth-order nonlinear singular Sturm-Liouville problems. The theorems obtained are very general and complement previously known results. KEYWORDS Mixed Monotone Operator , Fourth-Order Boundary Value Problem , Singular , Uniqueness Cite this paper He, Y. (2014) Existence and U...

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49141#.VDTo2FfHRK0 Author(s)    Ying He Affiliation(s) School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China . ABSTRACT By fixed point theorem of a mixed monotone operator, we study boundary value problems to nonlinear singular fourth-order differential equations, and provide sufficient conditions for the existence and uniqueness of positive solution. The nonlinear term in the differential equation may be singular. KEYWORDS Mixed Monotone Operator , Singular , Existence , Uniqueness Cite this paper ...