Results 21 to 30 of about 524,417 (274)
Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment
Mathematics, 2020 In this work we develop a study of positive periodic solutions for a mathematical model of the dynamics of computer virus propagation. We propose a generalized compartment model of SEIR-KS type, since we consider that the population is partitioned in ...
Aníbal Coronel +4 more
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Global Well-Posedness Of A Non-Local Burgers Equation: The Periodic Case [PDF]
, 2015 This paper is concerned with the study of a non-local Burgers equation for positive bounded periodic initial data. The equation reads $$ u_t - u |\nabla| u + |\nabla|(u^2) = 0. $$ We construct global classical solutions starting from smooth positive data,
Imbert, Cyril +2 more
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On positive periodic solutions of second order singular equations
Boundary Value Problems, 2018 Using the fixed point theorem, we study the existence and multiplicity of positive periodic solutions for the second order differential equations {x¨+a(t)x=f(x),x(0)=x(T),x˙(0)=x˙(T). $$\begin{aligned} \textstyle\begin{cases} \ddot{x}+a(t) x=f(x),\\ x(0)=
Yunhai Wang, Yuanfang Ru
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Positive Almost Periodic Solution on a Nonlinear Differential Equation [PDF]
Mathematical Problems in Engineering, 2011 We study the following nonlinear equation dx(t)/dt = x(t)[a(t) − b(t)xα(t) − f(t, x(t))] + g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the unique ...
Ni, Hua, Tian, Li-Xin, Liu, Xun
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Critical Keller-Segel meets Burgers on ${\mathbb S}^1$: large-time smooth solutions [PDF]
, 2016 We show that solutions to the parabolic-elliptic Keller-Segel system on ${\mathbb S}^1$ with critical fractional diffusion $(-\Delta)^\frac{1}{2}$ remain smooth for any initial data and any positive time. This disproves, at least in the periodic setting,
Burczak, Jan, Granero-Belinchón, Rafael
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Solvable and/or integrable and/or linearizable N-body problems in ordinary (three-dimensional) space. I [PDF]
, 1999 Several N-body problems in ordinary (3-dimensional) space are introduced which are characterized by Newtonian equations of motion (``acceleration equal force;'' in most cases, the forces are velocity-dependent) and are amenable to exact treatment ...
Bobenko A.I. +7 more
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Existence of periodic positive solutions to nonlinear Lotka-Volterra competition systems [PDF]
Opuscula Mathematica, 2020 We investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra competition system with deviating arguments. The main tool we use to obtain our result is the Krasnoselskii fixed point theorem.
Mimia Benhadri +2 more
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Multiple Periodic solutions and Positive Homoclinic Solution for a differential equation
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 The authors consider the nonautonomous differential equation \[ x''-a(t)x+b(t)x^2+c(t)x^3=0, \] where \(a,b\) and \(c\) are continuous \(T\)-periodic functions and obtain two results for them. The first one gives, under certain additional hypotheses, the existence of at least two nontrivial \(T\)-periodic solutions.
de Araujo, Anderson L. A. +1 more
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, 2007 We study the stability and exact multiplicity of periodic solutions of the Duffing equation with cubic nonlinearities. We obtain sharp bounds for h such that the equation has exactly three ordered T-periodic solutions.
Chen, Hongbin, Li, Yi
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Positive Solutions of Three-Order Delayed Periodic Boundary Value Problems
Discrete Dynamics in Nature and Society, 2017 Our main purpose is to consider the existence of positive solutions for three-order two-point boundary value problem in the following form: u′′′(t)+ρ3u(t)=f(t,u(t-τ)), 0≤t≤2π, u(i)(0)=u(i)(2π), i=1,2, u(t)=σ, -τ≤t≤0, where σ,ρ, and τ are given ...
Na Wang
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