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The Existence of Multiple Periodic Solutions to a Class of Fourth-Order Difference Equations

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  • Haoxin Wu
  • Zixian Tan
  • Xinfei Hu
  • Huafeng Xiao
  • Maria Patrizia Pera

Abstract

In this paper, we study the multiplicity of periodic solutions for a class of fourth-order difference equations. We estimate a lower bound on the number of periodic solutions when the nonlinearity is asymptotic both at the origin and at infinity. Our results generalize the reference’ results.

Suggested Citation

  • Haoxin Wu & Zixian Tan & Xinfei Hu & Huafeng Xiao & Maria Patrizia Pera, 2022. "The Existence of Multiple Periodic Solutions to a Class of Fourth-Order Difference Equations," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-9, September.
    • Handle: RePEc:hin:jnlmpe:7694885
    DOI: 10.1155/2022/7694885
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