Global behavior of a third order rational difference equation [PDF]
Mathematica Bohemica, 2014 In this paper, we determine the forbidden set and give an explicit formula for the solutions of the difference equation $$x_{n+1}=\frac {ax_{n}x_{n-1}}{-bx_{n}+ cx_{n-2}},\quad n\in \mathbb {N}_0 $$ where $a$, $b$, $c$ are positive real numbers and the initial conditions $x_{-2}$, $x_{-1}$, $x_0$ are real numbers. We show that every admissible solution
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A Finite Difference method for the Wide-Angle `Parabolic' equation in a waveguide with downsloping bottom [PDF]
, 2011 We consider the third-order wide-angle `parabolic' equation of underwater acoustics in a cylindrically symmetric fluid medium over a bottom of range-dependent bathymetry.
Antonopoulou, D. C. +2 more
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Generalized positive P representation with third-order noise in intracavity coherent photoassociation of Bose-Einstein condensates [PDF]
, 2001 We investigate the process of intracavity photoassociation of Bose-Einstein-condensed atoms to form a molecular condensate. As shown previously, this process can only be successfully described by a quantum treatment of all the interacting fields.
Collett, M. J. +2 more
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Analysis of Superconductivity in d-p Model on Basis of Perturbation Theory
, 2005 We investigate the mass enhancement factor and the superconducting transition temperature in the d-p model for the high-$\Tc$ cuprates. We solve the \'Eliashberg equation using the third-order perturbation theory with respect to the on-site Coulomb ...
Husimi Y. +9 more
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Control of signal coherence in parametric frequency mixing with incoherent pumps: narrowband mid-infrared light generation by downconversion of broadband amplified spontaneous emission source at 1550 nm [PDF]
, 2012 We study, with numerical simulations using the generalized nonlinear envelope equation, the processes of optical parametric and difference- and sum-frequency generation (SFG) with incoherent pumps in optical media with both quadratic and third-order ...
A. Picozzi +4 more
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Dynamics and behaviors of a third-order system of difference equation
Mathematical Sciences, 2013 Motivated by an Conjecture in the literature “Dynamics of Second Order Rational Difference Equations with Open Problems and Conjecture”, we introduce a difference equation system:
Wenqiang Ji, Liying Wang, Decun Zhang
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Two-parametric fractional statistics models for anyons
, 2014 In the paper, two-parametric models of fractional statistics are proposed in order to determine the functional form of the distribution function of free anyons.
Rovenchak, Andrij
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Supraconvergence and Supercloseness of a Discretisation for Elliptic Third-kind Boundary-value Problems on Polygonal Domains [PDF]
, 2007 The third-kind boundary-value problem for a second-order elliptic equation on a polygonal domain with variable coefficients, mixed derivatives, and first-order terms is approximated by a linear finite element method with first-order accurate quadrature ...
Emmrich, Etienne
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Oscillation of nonlinear third order perturbed functional difference equations
Nonautonomous Dynamical Systems, 2019 This paper deals with oscillatory and asymptotic behavior of all solutions of perturbed nonlinear third order functional difference ...
Dinakar P. +2 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 Boundary value problems for wave equation with fractional time derivative are studied. А priori estimates for solution of boundary value problems of the first and third kind in differential form are obtained.
A. A. Alikhanov
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