Existence of positive solutions to periodic boundary value problems with sign-changing Green's function
1 Department of Engineering Technology, Wuwei Occupational College Wuwei, 733000, Gansu, PR China
2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics Nanjing, 210016, PR China
Boundary Value Problems 2011, 2011:8 doi:10.1186/1687-2770-2011-8Published: 27 July 2011
This paper deals with the periodic boundary value problems
where is a constant and in which case the associated Green's function may changes sign. The existence result of positive solutions is established by using the fixed point index theory of cone mapping.