Sign-Changing Solutions for Discrete Second-Order Three-Point Boundary Value Problems

We consider the second-order three-point discrete boundary value problem. By using the topological degree theory and the fixed point index theory, we provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions. As an application, an example...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2010, Vol.2010 (2010), p.1-14
Main Authors: He, Tieshan, Yang, Wei, Yang, Fengjian
Format: Article
Language:English
Online Access:Get full text
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Summary:We consider the second-order three-point discrete boundary value problem. By using the topological degree theory and the fixed point index theory, we provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions. As an application, an example is given to demonstrate our main results.
ISSN:1026-0226
1607-887X