Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838838 | Nonlinear Analysis: Real World Applications | 2009 | 10 Pages |
Abstract
In this paper, the author studies the existence of periodic solutions for a second order neutral functional differential equation (φp(x(t)−cx(t−τ))′)′=f(x(t))x′(t)+g(t,x(t−μ(t)))+e(t)(φp(x(t)−cx(t−τ))′)′=f(x(t))x′(t)+g(t,x(t−μ(t)))+e(t) in the critical case |c|=1|c|=1. By analyzing some properties of the linear difference operator A:[Ax](t)=x(t)−cx(t−τ)A:[Ax](t)=x(t)−cx(t−τ) and using Mawhin’s continuation theorem, some new results are obtained.
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Authors
Shiping Lu,