Results 191 to 200 of about 1,841,091 (232)

On some systems of difference equations

Applied Mathematics and Computation, 2011
The authors consider the following three systems of nonlinear difference equations \[ u_{n+1}=\frac{v_n}{1+v_n},\quad v_{n+1}=\frac {u_n}{1+u_n}, \] \[ u_{n+1}=\frac{v_n}{1+u_n},\quad v_{n+1}=\frac {u_n}{1+v_n}, \] and \[ u_{n+1}=\frac{u_n}{1+v_n},\quad v_{n+1}=\frac {v_n}{1+u_n}, \] where \(n\in {\mathbb N}_0\) and the initial values \(u_0\) and \(v_0\
Berg, Lothar, Stević, Stevo
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A coupled system of difference equations

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, R.P., O'Regan, D.
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Analysis of Systems Involving Difference-Differential Equations

Journal of Applied Physics, 1954
It is known that many physical systems, both time and space dependent, are described by difference-differential equations. Although the exact solutions to such equations are known to be unique, their determination usually involves a segmented type of solution that is very laborious to obtain.
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On a system of difference equations

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Planar homogeneous systems of difference equations

Mathematical Methods in the Applied Sciences, 2014
Summary: This paper is concerned to additive and multiplicative systems of homogeneous difference equations of non-negative degree. We apply a reduction in order for both additive and multiplicative systems. Then, we consider convergence and monotony of positive solutions. In fact, using convergence results on factor maps, we obtain convergence results
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Singular systems of partial difference equations

Multidimensional Systems and Signal Processing, 1993
The paper is concerned with systems of partial difference equations of the form (1) \(Ax(i+1,k)+Bx(i,k+1)+Cx(i,k)=u(i,k)\) or (2) \(Ax(i+1,k+1)+Bx(i+1,k)+Cx(i,k+1)=u(i,k)\) where \(i\geq 0\), \(k\geq 0\) and \(A,B,C\) are constant nonzero square matrices with \(\text{det} A=\text{det} B=0\) in case (1) and \(\text{det} A=0\) in case (2), respectively ...
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Systems of Differential Equations and Finite Difference Equations

2014
MATLAB can solve this type of system directly, simply by using the command dsolve or maple('dsolve') with the familiar syntax.
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Systems of Algebraic Difference Equations

American Journal of Mathematics, 1933
Ritt, J. F., Doob, Joseph L.
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On the system of difference equations

2021
In this paper, we show that the system of difference equations x(n) = x(n-2)y(n-3)/y(n-1)(a(n)+b(n)x(n-2)y(n-3)), y(n) = y(n-2)x(n-3)/x(n-1)(alpha(n)+beta(n)y(n-2)x(n-3)), n is an element of N-0, where the sequences for all n is an element of N-0, (a(n)), (b(n)), (alpha(n)), (beta(n)) and the initial values x(-j), y(-j), j is an element of {1, 2, 3 ...
Kara, M., Yazlık, Y.
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Nanofluidics for osmotic energy conversion

Nature Reviews Materials, 2021
, Liping Wen, Lei Jiang
exaly