Periodic solutions of Volterra integral equations.

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.

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 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 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 the almost periodic solutions of differential equations on Hilbert spaces.

Lan, Nguyen Thanh (2009)

International Journal of Differential Equations

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