Results 61 to 70 of about 1,801,571 (229)
Stability and periodic character of a third order difference equation
Mathematical and Computer Modelling, 2011 In this paper, we consider the third order difference equation yn+1=αyn−2β+γynkyn−1kyn−2k,n=0,1,2,… where the initial conditions y−2,y−1,y0 and the parameters α,β and γ are positive real numbers and k≥2 is a fixed integer. We investigate the stability, the periodic character and the boundedness nature of solutions of the above mentioned difference ...
Mehdi Dehghan, Narges Rastegar
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Uni-directional models for narrow and broadband pulse propagation in second order nonlinear media [PDF]
, 2002 We consider optical pulse propagation in one spatial direction and observe that for lossless media, the resulting Maxwell equations are of the form of an infinite dimensional Hamiltonian system evolving in the spatial direction.
Cahyono, E. +2 more
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Numerical Investigation of the Steady State of a Driven Thin Film Equation
Journal of Applied Mathematics, 2013 A third-order ordinary differential equation with application in the flow of a thin liquid film is considered. The boundary conditions come from Tanner's problem for the surface tension driven flow of a thin film.
A. J. Hutchinson, C. Harley, E. Momoniat
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ASYMPTOTIC DYNAMICS OF A CLASS OF THIRD ORDER RATIONAL DIFFERENCE EQUATIONS
Far East Journal of Dynamical Systems, 2020 The asymptotic dynamics of the classes of rational difference equations (RDEs) of third order defined over the positive real-line as $$\displaystyle{x_{n+1}=\frac{x_{n}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-1}}{ax_n+bx_{n-1}+cx_{n-2}}}, \displaystyle{x_{n+1}=\frac{x_{n-2}}{ax_n+bx_{n-1}+cx_{n-2}}}$$ and $$\displaystyle{x_{n+1 ...
Hassan, Sk Sarif +3 more
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A detailed study on a solvable system related to the linear fractional difference equation
Mathematical Biosciences and Engineering, 2021 In this paper, we present a detailed study of the following system of difference equations $ \begin{equation*} x_{n+1} = \frac{a}{1+y_{n}x_{n-1}}, \ y_{n+1} = \frac{b}{1+x_{n}y_{n-1}}, \ n\in\mathbb{N}_{0}, \end{equation*} $ where the parameters ...
Durhasan Turgut Tollu +3 more
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, 2009 MHD turbulence has long been proposed as a mechanism for the heating of coronal loops in the framework of the Parker scenario for coronal heating. So far most of the studies have focused on its dynamical properties without considering its thermodynamical
Dahlburg, R. B. +2 more
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Quantum-theoretical treatments of three-photon processes [PDF]
, 2002 We perform and compare different analyses of triply degenerate four-wave mixing in the regime where three fields of the same frequency interact via a nonlinear medium with a field at three times the frequency.
Fleischhauer, M. +2 more
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Oscillatory and asymptotically zero solutions of third order difference equations with quasidifferences [PDF]
Opuscula Mathematica, 2006 In this paper, third order difference equations are considered. We study the nonlinear third order difference equation with quasidifferences. Using Riccati transformation techniques, we establish some sufficient conditions for each solution of this ...
Ewa Schmeidel
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Nonlinear Analysis, 2014 A new explicit conditionally consistent finite difference scheme for one-dimensional third-order linear pseudoparabolic equation with nonlocal conditions is constructed.
Justina Jachimavičienė +3 more
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Revisiting Samuelson’s models, linear and nonlinear, stability conditions and oscillating dynamics
Journal of Economic Structures, 2021 In this work, we reconsider the dynamics of a few versions of the classical Samuelson’s multiplier–accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order
Fabio Tramontana, Laura Gardini
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