### Periodic solutions for a neutral differential equation with variable parameter

#### Abstract

By means of Mawhin's continuation theorem, we

present some sufficient conditions which guarantee the existence of

at least one $T$-periodic solution for a first-order neutral

equation with variable parameter. The interest is that the

coefficient $c$ is not a constant, which is different from the

corresponding ones of past work.

present some sufficient conditions which guarantee the existence of

at least one $T$-periodic solution for a first-order neutral

equation with variable parameter. The interest is that the

coefficient $c$ is not a constant, which is different from the

corresponding ones of past work.

#### Keywords

Neutral; variable parameter; periodic solution; Mawhin's continuation theorem

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