Open AccessMultiple solutions for fourth order m-point boundary value problems with sign-changing nonlinearity
Author(s) -
Haitao Li,
Yansheng Liu
Publication year - 2010
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2010.1.55
Subject(s) - mathematics , sign (mathematics) , nonlinear system , order (exchange) , value (mathematics) , boundary value problem , point (geometry) , mathematical analysis , geometry , statistics , physics , quantum mechanics , finance , economics
Using a fixed point theorem in ordered Banach spaces with lattice structure founded by Liu and Sun, this paper investigates the multiplicity of nontrivial solutions for fourth order m-point boundary value problems with sign-changing nonlinearity. Our results are new and improve on those in the literature.
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