%0 Journal Article %T Positive Solutions of Differential Equations with Unbounded Green's Kernel %A John R. Graef %A Seshadev Padhi %A Smita Pati %A P. K. Kar %J Applicable Analysis and Discrete Mathematics %D 2012 %I University of Belgrade and Academic Mind %R 10.2298/aadm120418011g %X Sufficient conditions are obtained for the existence/nonexistence of at least two positive periodic solutions of a class of first order differential equations having an unbounded Green¡¯s function. An application to an ecological model with strong Allee effects is also given. %K Positive periodic solutions %K multiple periodic solutions %K Allee effect %U http://pefmath.etf.rs/vol6num2/AADM-Vol6-No2-159-173.pdf