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Multiplicity results of positive solutions for fourth‐order nonlinear differential equation with singularity
Author(s) -
Cheng Zhibo,
Ren Jingli
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3481
Subject(s) - mathematics , fixed point theorem , singularity , multiplicity (mathematics) , schauder fixed point theorem , nonlinear system , mathematical analysis , differential equation , order (exchange) , picard–lindelöf theorem , physics , finance , quantum mechanics , economics
By application of Green's function and some fixed‐point theorems, that is, Leray–Schauder alternative principle and Schauder's fixed‐point theorem, we establish two new existence results of positive periodic solutions for nonlinear fourth‐order singular differential equation, which extend and improve significantly existing results in the literature. Copyright © 2015 John Wiley & Sons, Ltd.