Positive Solution for Boundary Value Problem of Nonlinear Three-Order Difference Equation

Chun Li Wang; Chuan Zhi Bai; Xiao Dong Cai

doi:10.4028/www.scientific.net/AMR.926-930.3665

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 926-930Positive Solution for Boundary Value Problem of...

Positive Solution for Boundary Value Problem of Nonlinear Three-Order Difference Equation

Abstract:

In this paper we investigate the existence of positive solution of the following nonlinear discrete third-order two-point boundary value problem. whereis continuous and there existssuch that . Our approach relies on the Krasnosel'skii fixed point theorem. An example is given to demonstrate the application of the theorem obtained.