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: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2019-11-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2019/119/abstr.html |