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

Tian Xiang, Rong Yuan

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.

Keywords


Coincidence degree; periodic solutions; deviating arguments

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