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The Periodic Solution of Fractional Oscillation Equation with Periodic Input
Advances in Mathematical Physics, 2013 The periodic solution of fractional oscillation equation with periodic input is considered in this work. The fractional derivative operator is taken as -∞Dtα, where the initial time is -∞; hence, initial conditions are not needed in the model of the ...
Jun-Sheng Duan
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Almost Periodic Solution for Memristive Neural Networks with Time-Varying Delays
Journal of Applied Mathematics, 2013 This paper is concerned with the dynamical stability analysis for almost periodic solution of memristive neural networks with time-varying delays. Under the framework of Filippov solutions, by applying the inequality analysis techniques, the existence ...
Huaiqin Wu, Luying Zhang
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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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Periodic solution of fractal Phi-4 equation
Thermal Science, 2021 This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is completely changed,
Cai-xia Liu
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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 +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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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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A periodic solution of the fractional sine-Gordon equation arising in architectural engineering
, 2020 Many nonlinear vibrations arising in the engineering of architecture include noise and uncertain properties, and this paper suggests a fractional model to elucidate the properties. The fractional sine-Gordon equation with the Riemann–Liouville fractional
Yue Shen, Y. El‐Dib
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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. +2 more
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Periodic solutions of a galactic potential [PDF]
Chaos, Solitons & Fractals, 2014 We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
Llibre, Jaume +2 more
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