Existence of Periodic Solution for a Kind of Third-Order Generalized Neutral Functional Differential Equation with Variable Parameter

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Abstract

In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided.

Keywords:

existence of periodic solution third-order neutral functional differential equation variable parameter Mawhin’s continuation theorem coincidence degree.
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