Premium
Positive solutions for fourth‐order singular nonlinear differential equation with variable‐coefficient
Author(s) -
Cheng Zhibo,
Ren Jingli
Publication year - 2016
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.3637
Subject(s) - mathematics , fixed point theorem , schauder fixed point theorem , nonlinear system , variable (mathematics) , singular solution , mathematical analysis , order (exchange) , differential equation , function (biology) , variable coefficient , singular point of a curve , picard–lindelöf theorem , physics , finance , quantum mechanics , evolutionary biology , economics , biology
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 with variable‐coefficient, which extend and improve significantly existing results in the literature. Copyright © 2016 John Wiley & Sons, Ltd.