Results 51 to 60 of about 1,841,091 (232)
Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games [PDF]
, 2015 Mean field type models describing the limiting behavior of stochastic differential games as the number of players tends to +$\infty$, have been recently introduced by J-M. Lasry and P-L. Lions.
Achdou, Yves, Porretta, Alessio
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Complexiton Solutions of the Toda Lattice Equation
, 2004 A set of coupled conditions consisting of differential-difference equations is presented for Casorati determinants to solve the Toda lattice equation. One class of the resulting conditions leads to an approach for constructing complexiton solutions to ...
Ablowitz +18 more
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Symmetric nonlinear solvable system of difference equations
Electronic Journal of Qualitative Theory of Differential EquationsWe show the theoretical solvability of the system of difference equations $$x_{n+k}=\frac{y_{n+l}y_n-cd}{y_{n+l}+y_n-c-d},\quad y_{n+k}=\frac{x_{n+l}x_n-cd}{x_{n+l}+x_n-c-d},\quad n\in\mathbb{N}_0,$$ where $k\in\mathbb{N}$, $l\in\mathbb{N}_0 ...
Stevo Stevic +2 more
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On a Competitive System of Rational Difference Equations
Universal Journal of Mathematics and Applications, 2019 This paper aims to investigate the global stability and the rate of convergence of positive solutions that converge to the equilibrium point of the system of difference equations in the modeling competitive populations in the form $$ x_{n+1}^{(1)}=\frac{
Mehmet Gümüş
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Trichotomy of a system of two difference equations
Journal of Mathematical Analysis and Applications, 2004 The authors study the boundedness and asymptotic behavior of positive solutions of the system of difference equations \[ x_{n+1}=A+\frac{\sum_{i=1}^{k} a_ix_{n-p_i}}{\sum_{j=1}^{m}b_jy_{n-q_j}},\qquad y_{n+1}=B+\frac{\sum_{i=1}^{k} c_iy_{n-p_i}}{\sum_{j=1}^{m}d_jx_{n-q_j}}, \] and obtain some results, where \(k, m\in \{1, 2, \ldots\}, A, B, a_i, c_i ...
Papaschinopoulos, G., Stefanidou, G.
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On Invariants for Difference Equations and Systems of Difference Equations of Rational Form
Journal of Mathematical Analysis and Applications, 1999 The author generalizes results of \textit{C. J. Schinas} [J. Math. Anal. Appl. 216, No. 1, 164-179 (1997; Zbl 0889.39006)] on invariants of difference equations of rational form to second- and third-order autonomous and nonautonomous difference equations.
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Solutions of the system ofmaximum difference equations
MANAS: Journal of Engineering, 2015 The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers.
D. Şimşek, M. Eröz
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Dynamics of a Higher-Order System of Difference Equations
Discrete Dynamics in Nature and Society, 2017 Consider the following system of difference equations: xn+1(i)=xn-m+1(i)/Ai∏j=0m-1xn-j(i+j+1)+αi, xn+1(i+m)=xn+1(i), x1-l(i+l)=ai,l, Ai+m=Ai, αi+m=αi, i,l=1,2,…,m; n=0,1,2,…, where m is a positive integer, Ai,αi, i=1,2,…,m, and the initial conditions ai ...
Qi Wang, Qinqin Zhang, Qirui Li
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On A System of Rational Difference Equation
Demonstratio Mathematica, 2014 Abstract In this paper, we study local asymptotic stability, global character and periodic nature of solutions of the system of rational difference equations given by xn+1= , yn=
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A system of difference equations with elliptic coefficients and Bethe vectors
, 1996 An elliptic analogue of the $q$ deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.Comment: 20 pages, AMS-LaTeX ver.1.1 (amssymb), 15 figures in
A. Matsuo +16 more
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