On periodic solutions of higher-order functional differential equations.

Kiguradze, I.; Partsvania, N.; Půža, B.

Displaying similar documents to “On periodic solutions of higher-order functional differential equations.”

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

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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.

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.

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

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

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On a periodic boundary value problem for second-order linear functional differential equations.

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Periodic BVP with $φ$ -Laplacian and impulses

Vladimír Polášek (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The paper deals with the impulsive boundary value problem $\frac{d}{d t} [φ (y^{'} (t))] = f (t, y (t), y^{'} (t)), y (0) = y (T), y^{'} (0) = y^{'} (T), y (t_{i} +) = J_{i} (y (t_{i})), y^{'} (t_{i} +) = M_{i} (y^{'} (t_{i})), i = 1, ... m .$ The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions.