Fourth-order nonlinear differential equations; multiplicity; positive periodic solutions; Mawhin's continuation theorem

In this article we study the existence and multiplicity of positive periodic solutions for two classes of non-autonomous fourth-order nonlinear ordinary differential equations $$\displaylines{ u^{iv}-pu'' -a(x)u^{n}+b(x)u^{n+2}=0, \cr u^{iv}-pu'' +a(x)u^{n}-b(x)u^{n+2}=0,...

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Bibliographic Details
Main Authors: Hujun Yang, Xiaoling Han
Format: Article
Language:English
Published: Texas State University 2019-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/119/abstr.html