On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument

Yinggao Zhou; Min Wu

Displaying similar documents to “On existence of positive periodic solutions of a kind of Rayleigh equation with a deviating argument”

On the existence of one-signed periodic solutions of some differential equations of second order

Jan Ligęza (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We study the existence of one-signed periodic solutions of the equations $\begin{matrix} x^{''} (t) - a^{2} (t) x (t) + μ f (t, x (t), x^{'} (t)) = 0, & x^{''} (t) + a^{2} (t) x (t) = μ f (t, x (t), x^{'} (t)), \end{matrix}$ where $μ > 0$ , $a : (- \infty, + \infty) \to (0, \infty)$ is continuous and 1-periodic, $f$ is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.

Existence of triple positive periodic solutions of a functional differential equation depending on a parameter.

Liu, Xi-Lan, Zhang, Guang, Cheng, Sui Sun (2004)

Abstract and Applied Analysis

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On periodic solutions of higher-order functional differential equations.

Kiguradze, I., Partsvania, N., Půža, B. (2008)

Boundary Value Problems [electronic only]

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Periodic and asymptotically periodic solutions of neutral integral equations.

Burton, T.A., Furumochi, Tetsuo (2000)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.

Wang, Gen-Qiang, Cheng, Sui Sun (2009)

International Journal of Mathematics and Mathematical Sciences

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Bifurcation of periodic solutions in differential inclusions

Michal Fečkan (1997)

Applications of Mathematics

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Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems.