Resumen de Nondegeneracy and Uniqueness of Periodic Solution for a Neutral Differential Equation

Zhibo Cheng

• 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.