Nondegeneracy and Uniqueness of Periodic Solution for a Neutral Differential Equation

• Cheng, Zhibo ^[1]
  1. [1] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 3, 2020
• Idioma: inglés
• DOI: 10.1007/s12346-020-00429-7
• Enlaces
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• Resumen

  • We analyze the nondegeneracy of second-order linear neutral differential equation (x(t)-cx(t-τ))′′=a(t)x(t),where c is a constant. By applications of the nondegeneracy of this linear neutral equation and an extension of Mawhin’s continuation theorem, we obtain existence and uniqueness of periodic solution for the prescribed second-order neutral differential equations. At last, we give two examples to show the applications of the theorems.

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