Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters
Shu-Gui Kang ; Bao Shi ; Sui Sun Cheng
Annales Polonici Mathematici, Tome 95 (2009), p. 227-238 / Harvested from The Polish Digital Mathematics Library
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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 ϕ(x)=λ∫[x,x+ω]∩ΩK(x,y)h(y)f(y,ϕ(y-τ(y)))dy, x ∈ Ω, by means of the proper value theory of operators in Banach spaces with cones. Existence, uniqueness and continuous dependence of proper solutions are established.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:280961 
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     journal = {Annales Polonici Mathematici},
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     year = {2009},
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Shu-Gui Kang; Bao Shi; Sui Sun Cheng. Existence and uniqueness of positive periodic solutions for a class of integral equations with parameters. Annales Polonici Mathematici, Tome 95 (2009) pp. 227-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-3-3/