Positive Periodic Solutions to a Second-Order Singular Differential Equation with Indefinite Weights

• Xuefeng Han ^[1] ; Zhibo Cheng ^[1]
  1. [1] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 2, 2022
• Idioma: inglés
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• Resumen

  • The aim of this paper is to show that Krasnoselskiĭ’s-Guo fixed point theorem can be applied to a second-order singular differential equation with indefinite weights. Using the Green’s function, we prove the existence of a positive periodic solution for the second-order singular differential equation with indefinite weights. These results are applicable to weak as well as strong singularities