Periodic solutions of a weakly nonlinear wave equation in one dimension

Hana Lovicarová

Displaying similar documents to “Periodic solutions of a weakly nonlinear wave equation in one dimension”

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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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 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.

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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An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.

Mukhigulashvili, S., Grytsay, I. (2009)

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

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

Yinggao Zhou, Min Wu (2010)

Applications of Mathematics

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The existence of positive periodic solutions for a kind of Rayleigh equation with a deviating argument $x^{''} (t) + f (x^{'} (t)) + g (t, x (t - τ (t))) = p (t)$ is studied. Using the coincidence degree theory, some sufficient conditions on the existence of positive periodic solutions are obtained.

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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