Positive Solutions to a Generalized Second-Order Difference Equation with Summation Boundary Value Problem

By using Krasnoselskii's fixed point theorem, we study the existence of positive solutions to the three-point summation boundary value problem Δ2u(t-1)+a(t)f(u(t))=0, t∈{1,2,…,T}, u(0)=β∑s=1ηu(s), u(T+1)=α∑s=1ηu(s), where f is continuous, T≥3 is a fixed positive integer, η∈{1,2,...,T-1}, 0<α...

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Bibliographic Details
Main Authors: Thanin Sitthiwirattham, Jessada Tariboon
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/569313