Results 231 to 240 of about 2,105 (253)
Some of the next articles are maybe not open access.
On a solvable system of p difference equations of higher order
Periodica Mathematica Hungarica, 2021This paper is devoted to the study of the following difference equation \[ x_{n+1}^{(j)}= \frac{x_{n-k}^{(j+1) \quad (\text{mod }p)}}{a+bx_{n-k}^{(j+1) \quad (\text{mod } p)}} \qquad \left(n, k, p \in \mathbb{N}_{0}, j= 1\, \ldots, p\right), \] where the parameters \(a, b\) are nonzero real numbers and the initial values \(x_{-k}^{(j)}, x_{-k+1}^{(j)},
Yacine Halim +3 more
openaire +2 more sources
On a solvable system of difference equations of fourth order
Applied Mathematics and Computation, 2013It is shown that the next system of k difference equationsx"n^(^j^)=a"n^(^j^)x"n"-"k^(^j^)b"n^(^j^)@?"i"="1^kx"n"-"i^(^@s^(^j^+^i^-^1^)^)+c"n^(^j^),n@?N"0,j=1,k@?,where a"n^(^j^),b"n^(^j^),c"n^(^j^),n@?N"0,j=1,k@?, and initial values x"-"i^(^j^),i,j@?{1,...,k}, are real numbers, and where @s:N->{1,...,k} is defined by @s(km+j)=j+1,j=1,k-1@?,@s(km+k)=1,
Stevo Stevic
exaly +2 more sources
On fourteen solvable systems of difference equations
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tollu, D. T., Yazlik, Y., Taskara, N.
openaire +2 more sources
On a Solvable System of Difference Equations in Terms of Generalized Fibonacci Numbers
Mathematica Slovaca, 2023ABSTRACTIn this paper, we represent that the following three-dimensional system of difference equationsxn+1=αyn+aynyn−βzn−1, yn+1=βzn+bznzn−γxn−1, zn+1=γxn+cxnxn−αyn−1, n∈ℕ0,$$\matrix{{{x_{n + 1}} = \alpha {y_n} + {{a{y_n}} \over {{y_n} - \beta {z_{n - 1}}}},\quad {y_{n + 1}} = \beta {z_n} + {{b{z_n}} \over {{z_n} - \gamma {x_{n - 1}}}},\quad {z_{n ...
Yasin Yazlik
exaly +3 more sources
On the Solvability of Certain Systems of Linear Difference Equations
SIAM Journal on Mathematical Analysis, 1981For a certain class of block Toeplitz matrices, we identify the smallest sector containing the zeros of the determinant for the corresponding symbol.
Cavaretta, A. S. jun. +3 more
openaire +2 more sources
On a solvable system of rational difference equations
Journal of Difference Equations and Applications, 2013We show that the following system of difference equationswhere , , , and sequences , , and are real, can be solved in closed form. For the case when the sequences , , and are constant and , we apply obtained formulas in the investigation of the asymptotic behaviour of well-defined solutions of the system. We also find domain of undefinable solutions of
Stevo Stević +3 more
openaire +1 more source
On a system of difference equations of odd order solvable in closed form
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stevic
exaly +2 more sources
Solvability conditions for infinite systems of difference equations
Journal of Difference Equations and Applications, 2009The Fredholm property of some linear infinite dimensional difference operators is studied. In the case corresponding to discretization of differential equations on the real axis, the index of the corresponding operators is computed and solvability conditions for the nonhomogeneous problem are established.
N. Apreutesei, V. Volpert
openaire +1 more source
On a solvable four-dimensional system of difference equations
Mathematica SlovacaAbstract In this paper we show that the following four-dimensional system of difference equations
Yasin Yazlik
exaly +2 more sources
A solvable system of nonlinear difference equations
2020In this paper, we show that the following systems of nonlinear difference equationsx_{n+1}=((x_{n}y_{n}+a)/(x_{n}+y_{n})),y_{n+1}=((y_{n}z_{n}+a)/(y_{n}+z_{n})),z_{n+1}=((z_{n}x_{n}+a)/(z_{n}+x_{n})) for n∈ℕ₀where a∈[0,∞) and the initial values x₀, y₀, z₀ are real numbers, can be solved in explicit form.
ŞAHİNKAYA, Abdullah +2 more
openaire +1 more source