Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 232, pp. 1-8.
Title: Anti-periodic solutions to Rayleigh-type equations with
two deviating arguments
Authors: Meiqiang Feng (Beijing Information Science and Tech. Univ., China)
Xuemei Zhang (North China Electric Power Univ., Beijing, China)
Abstract:
In this article, the Rayleigh equation with two deviating arguments
$$
x''(t)+f(x'(t))+g_1(t,x(t-\tau_1(t)))+g_2(t,x(t-\tau_2(t)))=e(t)
$$
is studied. By using Leray-Schauder fixed point theorem, we obtain
the existence of anti-periodic solutions to this equation.
The results are illustrated with an example, which can not be
handled using previous results.
Submitted September 20, 2012. Published December 21, 2012.
Math Subject Classifications: 34K13, 34K15, 34C25.
Key Words: Rayleigh equation; anti-periodic solution; deviating argument.