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Almost periodic and periodic solutions of difference equations [PDF]

Bulletin of the American Mathematical Society, 1966
George R. Sell
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Averaging principle on infinite intervals for stochastic ordinary differential equations with Lévy noise

AIMS Mathematics, 2021
In this paper, we establish an averaging principle on the infinite time intervals for semilinear stochastic ordinary differential equations with Lévy noise.
Xin Liu, Yan Wang
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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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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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Periodic solution of a bioeconomic fishery model by coincidence degree theory

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this article we use coincidence degree theory to study the existence of a positive periodic solutions to the following bioeconomic model in fishery dynamics \begin{equation*}\label{eq1.3} \begin{cases} \frac{dn}{dt} = n \left(r(t) \left(1-\frac{n ...
Satyam Srivastava, Seshadev Padhi, Alexander Domoshnitsky   +2 more
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On Hyperbolic Differential Equation with Periodic Control Initial Condition

Wasit Journal of Computer and Mathematics Science, 2022
The aim of this paper to study the existence solution of some types of hyperbolic differential equation with periodicity of some controls function as nonlocal initial condition for the equation and the technical and used depended on some interest ...
Zainab Abdel Ameer, Sameer Qasim Hasan
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Homoclinic breather, periodic wave, lump solution, and M-shaped rational solutions for cold bosonic atoms in a zig-zag optical lattice

Nonlinear Engineering, 2023
In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R., Seadawy Aly R., Ahmed Samia   +2 more
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Linear Impulsive Periodic System with Time-Varying Generating Operators on Banach Space

Advances in Difference Equations, 2007
A class of the linear impulsive periodic system with time-varying generating operators on Banach space is considered. By constructing the impulsive evolution operator, the existence of T0-periodic PC-mild solution for homogeneous linear impulsive ...
JinRong Wang, X. Xiang, W. Wei
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Analytical solutions of the simplified Mathieu’s equation [PDF]

INCAS Bulletin, 2016
Consider a second order differential linear periodic equation. The periodic coefficient is an approximation of the Mathieu’s coefficient. This equation is recast as a first-order homogeneous system.
Nicolae MARCOV
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Existence of bounded solutions for retarded equations with infinite delay, impulses, and nonlocal condition

NOVASINERGIA, 2020
In this work, we study the existence of bounded solutions for a semilinear retarded equation with infinite delay, impulse, and non-local conditions. We also show that under some conditions this bounded solution is unique, periodic, or almost periodic ...
Génesis Carrillo, Carlos Chipantiza, Hugo Leiva   +2 more
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