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

Liu, Xi-Lan; Zhang, Guang; Cheng, Sui Sun

Displaying similar documents to “Existence of triple positive periodic solutions of a functional differential equation depending on a parameter.”

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 periodic solutions of higher-order functional differential equations.

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

Boundary Value Problems [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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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 periodic solutions for first-order totally nonlinear neutral differential equations with variable delay

Abdelouaheb Ardjouni, Ahcène Djoudi (2014)

Commentationes Mathematicae Universitatis Carolinae

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We use a modification of Krasnoselskii’s fixed point theorem due to Burton (see [Liapunov functionals, fixed points and stability by Krasnoselskii’s theorem, Nonlinear Stud. 9 (2002), 181–190], Theorem 3) to show that the totally nonlinear neutral differential equation with variable delay $x^{'} (t) = - a (t) h (x (t)) + c (t) x^{'} (t - g (t)) Q^{'} (x (t - g (t))) + G (t, x (t), x (t - g (t))),$ has a periodic solution. We invert this equation to construct a fixed point mapping expressed as a sum of two mappings such that one is compact and the other is a large contraction. We show that the...

Periodic solutions for some partial functional differential equations.

Benkhalti, Rachid, Ezzinbi, Khalil (2004)

Journal of Applied Mathematics and Stochastic Analysis

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