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

Wang, Gen-Qiang; Cheng, Sui Sun

Displaying similar documents to “Existence and uniqueness of periodic solutions for a second-order nonlinear differential equation with piecewise constant argument.”

Even periodic solutions of higher order duffing differential equations

Gen Qiang Wang, Sui-Sun Cheng (2007)

Czechoslovak Mathematical Journal

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By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.

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

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

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Fixed points and differential equations with asymptotically constant or periodic solutions.

Burton, T.A. (2004)

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

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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.

Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities.

Cabada, Alberto, Cid, José Ángel (2011)

Abstract and Applied Analysis

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