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

Tieshan He | Zendy; Wei Yang | Zendy; Fengjian Yang | Zendy

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

Author(s) -

Tieshan He,

Wei Yang,

Fengjian Yang

Publication year - 2010

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2010/705387

Subject(s) - fixed point index , sign (mathematics) , mathematics , boundary value problem , order (exchange) , value (mathematics) , point (geometry) , degree (music) , mathematical analysis , boundary (topology) , geometry , physics , statistics , finance , acoustics , economics

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

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