## Topological Methods in Nonlinear Analysis

### 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.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 37, Number 2 (2011), 235-258.

Dates
First available in Project Euclid: 20 April 2016

https://projecteuclid.org/euclid.tmna/1461184785

Mathematical Reviews number (MathSciNet)
MR2849822

Zentralblatt MATH identifier
1242.34129

#### Citation

Xiang, Tian; Yuan, Rong. Existence of periodic solutions for $p$-Laplacian neutral functional equation with multiple deviating arguments. Topol. Methods Nonlinear Anal. 37 (2011), no. 2, 235--258. https://projecteuclid.org/euclid.tmna/1461184785

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