Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters

Shu-Gui Kang, Bao Shi, Sui Sun Cheng
2009 Annales Polonici Mathematici  
Existence of periodic solutions of functional differential equations with parameters such as Nicholson's blowflies model call for the investigation of integral equations with parameters defined over spaces with periodic structures. In this paper, we study one such equation by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established. 2000 Mathematics Subject Classification: Primary 45M15;
more » ... imary 45M15; Secondary 45M05.
doi:10.4064/ap96-3-3 fatcat:fsz26mft2va35jmgxmnx2s6h5m