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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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Hybrid exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles

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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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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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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Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]

, 2006
The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
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Almost Periodic Solutions on a Class Secondorder Differential Equations with Piecewise Constant Argument

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 secondorder differential equations with piecewise constant argument.
YAO Hui-li, ZHANG Yue-jiao, HOU Sheng-nan   +2 more
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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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