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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
$ϕ(x) = λ∫_{[x,x+ω]∩Ω} K(x,y)h(y)f(y,ϕ(y-τ(y)))dy$, 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.
$ϕ(x) = λ∫_{[x,x+ω]∩Ω} K(x,y)h(y)f(y,ϕ(y-τ(y)))dy$, 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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
227-238
Opis fizyczny
Daty
wydano
2009
Twórcy
autor
- College of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, P.R. China
autor
- Department of Basic Sciences, Naval Aeronautical Engineering Institute, Yantai, Shandong 264001, P.R. China
autor
- Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R. O. China
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bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-3-3