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,...
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 |
Similar Items
-
Existence and uniqueness on periodic solutions of fourth-order nonlinear differential equations
by: Ani Jiang, et al.
Published: (2012-08-01) -
Periodic solutions for a second-order neutral differential equation with variable parameter and multiple deviating arguments
by: Bo Du, et al.
Published: (2010-07-01) -
Periodic solutions for fourth-order p-Laplacian functional differential equations with sign-variable coefficient
by: Jiaying Liu, et al.
Published: (2013-09-01) -
Existence of periodic solutions of a Liénard equation with a singularity of repulsive type
by: Shiping Lu, et al.
Published: (2017-06-01) -
Existence of positive periodic solutions for super-linear neutral Liénard equation with a singularity of attractive type
by: Yu Zhu
Published: (2020-10-01)