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Periodic solution for second-order damped neutral differential equation via a fixed point theorem of Leray-Schauder type
Zhibo Cheng,Lisha Lv,Feifan Li
Keywords:periodic solution; neutral equation; second-order; fixed point theorem of Leray-Schauder type.
Abstract:
      The aim of this paper is to show that a fixed point theorem of Leray-Schauder type can be applied to damped neutral differential equations. Using the positivity of Green's function, we prove the existence of a positive periodic solution for second-order damped neutral differential equation in the cases that sub-linearity, semi-linearity and super-linearity conditions.