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

• Autorzy: Shu-Gui Kang , Bao Shi , Sui Sun Cheng
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 45M15: Periodic solutions
• 45M05: Asymptotics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 3
• Strony: 227-238

Daty

wydano

2009

Twórcy

autor

Shu-Gui Kang

• College of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, P.R. China

autor

Bao Shi

• Department of Basic Sciences, Naval Aeronautical Engineering Institute, Yantai, Shandong 264001, P.R. China

autor

Sui Sun Cheng

• Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan 30043, R. O. China

Identyfikatory

DOI

10.4064/ap96-3-3