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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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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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Existence of three periodic solutions for a quasilinear periodic boundary value problem
AIMS Mathematics, 2020 In this paper, we prove the existence of at least three periodic solutions for the quasilinear periodic boundary value problem \begin{eqnarray} \left\{ \begin{array}{ll} -p(x')x''+\alpha(t)x=\lambda f(t,x) ~{\rm a.e.} ~t\in[0,1], \\ x(1) -x(0)= x'(1)-x ...
Zhongqian Wang, Dan Liu, Mingliang Song
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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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Multiple periodic solutions of nonlinear second order differential equations
AIMS Mathematics, 2023 In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions.
Keqiang Li, Shangjiu Wang
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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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Large amplitude and multiple stable periodic oscillations in treatment-donation-stockpile dynamics
Electronic Journal of Qualitative Theory of Differential Equations, 2016 A transmission-treatment-donation-stockpile model was originally formulated for the 2014-2015 West Africa Ebola outbreak in order to inform policy complication of large scale use and collection of convalescent blood as an empiric treatment.
Xiaodan Sun +3 more
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Asymptotic Behavior of Solutions of a Periodic Diffusion Equation
Journal of Inequalities and Applications, 2010 We consider a degenerate parabolic equation with logistic periodic sources. First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity method. Then by using Moser iterative technique and the method of contradiction, we
Jiebao Sun, Boying Wu, Dazhi Zhang
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Advances in Difference Equations, 2019 We study almost periodic solutions for a class of nonlinear second-order differential equations involving reflection of the argument. We establish existence results of almost periodic solutions as critical points by a variational approach.
Peiguang Wang +4 more
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