The Existence of Solutions to a System of Discrete Fractional Boundary Value Problems

We study the existence of solutions for the boundary value problem -Δνy1(t)=f(y1(t+ν-1),y2(t+μ-1)), -Δμy2(t)=g(y1(t+ν-1),y2(t+μ-1)), y1(ν-2)=Δy1(ν+b)=0, y2(μ-2)=Δy2(μ+b)=0, where 1<μ,ν≤2, f,g:R×R→R are continuous functions, b∈N0. The existence of solutions to this problem is established by the Gu...

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Bibliographic Details
Main Authors: Yuanyuan Pan, Zhenlai Han, Shurong Sun, Yige Zhao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/707631