Existence and regularity of time-periodic solutions to the three-dimensional Navier-Stokes equations [PDF]
, 2014 Existence, uniqueness, and regularity of time-periodic solutions to the Navier-Stokes equations in the three-dimensional whole-space are investigated. We consider the Navier-Stokes equations with a non-zero drift term corresponding to the physical model ...
Kyed, Mads
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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 segment implies infinitely many periodic solutions [PDF]
Proceedings of the American Mathematical Society, 2007 The authors of this note show that given a periodic segment for a nonautonomous ODE with periodic coefficients (i.e. a local process) and given a sequence of associated Lefschetz numbers that is not constant, then there exist infinitely many periodic solutions in the segment. The proof is based on the Shub-Sullivan theorem, see \textit{M.
Marzantowicz, Waclaw, Wójcik, Klaudiusz
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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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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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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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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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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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Efficient formulation of the periodic corrections in Brouwer's gravity solution [PDF]
, 2015 The periodic terms of Brouwer's gravity solution are reconstructed in a nonsingular set of variables which are derived from the well-known polar-nodal variables.
Lara, Martin
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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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