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Positive periodic solutions for a sixth-order variable coefficient differential equation with repulsive singularity
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  • Jie Liu,
  • Panpan Li,
  • Taiyan Jing,
  • Zhibo Cheng
Jie Liu
Henan Polytechnic University
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Panpan Li
Henan Polytechnic University
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Taiyan Jing
Henan Polytechnic University
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Zhibo Cheng
Henan Polytechnic University

Corresponding Author:[email protected]

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Abstract

In this paper, we first gave the Green's function of a sixth-order linear differential equation with variable coefficients, and then proved the existence of positive periodic solutions for a sixth-order differential equation with a singularity of repulsive type via Schauder's fixed point theorem.