Periodic solutions for a higher-order p-Laplacian neutral differential equation with multiple deviating arguments
Résumé
In this article, we consider the following high-order p-Laplacian neutral differential equation with multiple deviating arguments:
$$(\varphi_{p}(x(t)-cx(t-r))^{(m)}(t)))^{(m)}= f(x(t))x'(t)+g(t,x(t),x(t-\tau_{1}(t)),...,x(t-\tau_{k}(t)))+e(t).$$
By appling the continuation theorem, theory of Fourier series, Bernoulli numbers theory and some analytic techniques, sufficient conditions for the existence of periodic solutions are established.
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