### Existence of periodic solutions for $p$-Laplacian neutral functional equation with multiple deviating arguments

#### Abstract

By using the theory of coincidence degree and some refined analysis techniques,

we study a general kind of periodic solutions to $p$-Laplacian

neutral functional differential equation with multiple deviating

arguments. A general analysis method to tackle with such equations

is formed. Some new and universal results on the existence of

periodic solutions are obtained, meanwhile, some known results in

the literatures are improved. An example is provided as an

application to our theorems.

we study a general kind of periodic solutions to $p$-Laplacian

neutral functional differential equation with multiple deviating

arguments. A general analysis method to tackle with such equations

is formed. Some new and universal results on the existence of

periodic solutions are obtained, meanwhile, some known results in

the literatures are improved. An example is provided as an

application to our theorems.

#### Keywords

Coincidence degree; periodic solutions; deviating arguments

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