Article ID Journal Published Year Pages File Type
5471761 Applied Mathematics Letters 2017 7 Pages PDF
Abstract
We study the existence and the uniqueness of positive periodic solutions for a class of integral equationsof the form ϕ(x)=∫[x,x+ω]∩GK(x,y)[f1(y,ϕ(y−τ(y)))+f2(y,ϕ(y−τ(y)))]dy,x∈G,where G is a closed subset of RN with periodic structure. Our analysis relies on the fixed point theory for mixed monotone operator in Banach space.
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Physical Sciences and Engineering Engineering Computational Mechanics
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Existence and uniqueness of positive periodic solutions for a class of integral equations with mixed monotone nonlinear terms
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