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Remarks on periodic resonant problems with nonlinear dissipation
Electronic Journal of Differential Equations, 2021 We consider the periodic problem for a 2nd order ODE with non-invertible linear part, and mild nonlinear dissipation term. The motivation for this study is a paper by Lazer [9] We add a bounded restoring force g(u) and show that the sufficient condition
Luis Sanchez, Joao G. Silva
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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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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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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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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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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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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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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 +2 more
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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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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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