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Periodic Solutions for Nonlinear Integro-Differential Systems with Piecewise Constant Argument [PDF]
The Scientific World Journal, 2014 We investigate the existence of the periodic solutions of a nonlinear integro-differential system with piecewise alternately advanced and retarded argument of generalized type, in short DEPCAG; that is, the argument is a general step function.
Kuo-Shou Chiu
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Theory and Applications of Periodic Solutions and Almost Periodic Solutions [PDF]
Discrete Dynamics in Nature and Society, 2013 Yonghui Xia
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Investigation for periodic and almost periodic solutions of first-order ordinary differential equations [PDF]
E3S Web of Conferences, 2023 Approaches to estimating for the number of periodic and almost periodic solutions of ordinary differential equations are considered. Conditions that allow determinating both the upper and lower bounds for these solutions are found.
Alferov G., Ivanov G., Korolev V.
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Results in Physics, 2021 In this paper, we study some exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles. Based on a given transformation and the bilinear form, together with symbolic computations, we obtain the ...
Ya-Ru Guo, Ai-Hua Chen
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ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS [PDF]
International Journal of Bifurcation and Chaos, 2013 We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic.
Bastien, Guy +2 more
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Periodic Solutions of a Periodic FitzHugh–Nagumo System [PDF]
International Journal of Bifurcation and Chaos, 2015 Recently some interest has appeared for the periodic FitzHugh–Nagumo differential systems. Here, we provide sufficient conditions for the existence of periodic solutions in such differential systems.
Jaume Llibre, Claudio Vidal
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Instability of Double-Periodic Waves in the Nonlinear Schrödinger Equation
Frontiers in Physics, 2021 It is shown how to compute the instability rates for the double-periodic solutions to the cubic NLS (nonlinear Schrödinger) equation by using the Lax linear equations.
Dmitry E. Pelinovsky
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Periodic solutions to a class of distributed delay differential equations via variational methods
Advances in Nonlinear Analysis, 2023 In this article, we study the existence of periodic solutions to a class of distributed delay differential equations. We transform the search for periodic solutions with the special symmetry of a delay differential equation to the problem of finding ...
Xiao Huafeng, Guo Zhiming
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Eventually periodic solutions of single neuron model
Nonlinear Analysis, 2020 In this paper, we consider a nonautonomous piecewise linear difference equation that describes a discrete version of a single neuron model with a periodic (period two and period three) internal decay rate.
Inese Bula, Michael A. Radin
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Journal of Harbin University of Science and Technology, 2019 Almost periodic solutions of differential equations are more general than periodic solutions, so almost periodic solutions will be studied on a class secondorder differential equations with piecewise constant argument.
YAO Hui-li +2 more
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