A note on a nonlinear functional differential system with feedback control.

Wang, Yuqing; He, Xiaoming

Displaying similar documents to “A note on a nonlinear functional differential system with feedback control.”

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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Periodic solutions for some partial functional differential equations.

Benkhalti, Rachid, Ezzinbi, Khalil (2004)

Journal of Applied Mathematics and Stochastic Analysis

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Periodic solutions for a neutral functional differential equation with multiple variable lags

Cheng-Jun Guo, Gen Qiang Wang, Sui-Sun Cheng (2006)

Archivum Mathematicum

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By means of the Krasnoselskii fixed piont theorem, periodic solutions are found for a neutral type delay differential system of the form $x^{'} (t) + c x^{'} (t - τ) = A (t, x (t)) x (t) + f (t, x (t - r_{1} (t)), \dots, x (t - r_{k} (t))) .$

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...

Global attractivity of positive periodic solutions of delay differential equations with feedback control.

Jin, Zhi-Long (2007)

Discrete Dynamics in Nature and Society

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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.