Existence of Positive Solutions for Fourth-Order Boundary Value Problems with Sign-Changing Nonlinear Terms
Author(s) -
Xingfang Feng,
Hanying Feng
Publication year - 2013
Publication title -
isrn mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2090-4665
pISSN - 2090-4657
DOI - 10.1155/2013/349624
Subject(s) - sign (mathematics) , mathematics , nonlinear system , fixed point theorem , boundary value problem , term (time) , order (exchange) , value (mathematics) , mathematical analysis , fixed point , physics , economics , statistics , finance , quantum mechanics
the existence of positive solutions for a fourth-order boundary value problem with a sign-changing nonlinear term is investigated. By using Krasnoselskii’s fixed point theorem, sufficient conditions that guarantee the existence of at least one positive solution are obtained. An example is presented to illustrate the application of our main results.
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