Results 11 to 20 of about 178,237 (295)
Analytical solutions of a particular Hill's differential system [PDF]
INCAS Bulletin, 2019 Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function.
Nicolae MARCOV
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Analysis of a mathematical model with nonlinear susceptibles-guided interventions
Mathematical Biosciences and Engineering, 2019 In this paper, we considered a mathematical model describing the nonlinear susceptibles-guided vaccination and isolation strategies, incorporating the continuously saturated treatment. In this strategy, we find that the disease-free periodic solution can
Qian Li, Yanni Xiao
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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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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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Periods of periodic solutions and the Lipschitz constant [PDF]
Proceedings of the American Mathematical Society, 1969 let x = -Lx2, X2 = Lxi, x =0 for 2 < i < n, then (2) is satisfied letting F(x) = (-Lx2, Lxl, 0, * * *, 0), and all nonconstant solutions are periodic with period 2wr/L. To prove the theorem, we define the functions f(t) = F(x(t)) and N(t) = f(t)I| and y(t) =f(t)/N(t), for tER. The function y(t) is a unit vector tangent to the periodic trajectory.
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A note on periodic solutions of functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1985 The existence of periodic solution for a certain functional differential equation with quasibounded nonlinearity is established.
S. H. Chang
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Simulation of a photosynthesis
Lietuvos Matematikos Rinkinys, 2004 It is observed the differential equations system. The stable periodic solutions of the differential equations system of neutral type is constructed, which is based on the theory of bifurcations.
Marina Grabovskaja, Donatas Švitra
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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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Global behavior of a rational difference equation with quadratic term [PDF]
Mathematica Moravica, 2014 In this paper, we determine the forbidden set, introduce an explicit formula for the solutions and discuss the global behavior of all solutions of the difference equation Xn+1 = aXnXn-1 bXn - CXn-2, n = 0, 1, … where a, b, c are positive real numbers and
Abo-Zeid R.
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Dynamic Complexity in a Prey-Predator Model with State-Dependent Impulsive Control Strategy
Complexity, 2020 In this paper, an ecological model described by a couple of state-dependent impulsive equations is studied analytically and numerically. The theoretical analysis suggests that there exists a semitrivial periodic solution under some conditions and it is ...
Chuanjun Dai
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