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

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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.798-812-552
Main Authors: Pan, Yuanyuan, Han, Zhen-Lai, Sun, Shurong, Zhao, Yige
Format: Article
Language:English
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Summary: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
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/707631