Title :
Existence of positive solutions for some boundary value problem with parameter
Author_Institution :
Foundamental Sci. Dept., Tianjin Inst. of Urban Constr., Tianjin, China
Abstract :
In this paper, the existence of positive solutions is studied for some boundary value problem with parameter. In our discussion, the nonlinearity can change sign, while prevenient literatures need the nonlinearity is non-negative. We combine the method of upper and lower solution and the method of topology degree and then obtain the existence of positive solutions for the boundary value problem. In addition, concrete interval of parameter is given.
Keywords :
boundary-value problems; topology; boundary value problem; positive solution; topology degree; Boundary conditions; Cybernetics; Differential equations; Machine learning; Topology; Positive solution; Sturm-Liouville boundary value problem; Topological;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2011 International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4577-0305-8
DOI :
10.1109/ICMLC.2011.6016811
