Results 31 to 40 of about 649,859 (305)

Differential Calculus on h-Deformed Spaces [PDF]

, 2017
We construct the rings of generalized differential operators on the ${\bf h}$-deformed vector space of ${\bf gl}$-type. In contrast to the $q$-deformed vector space, where the ring of differential operators is unique up to an isomorphism, the general ...
Herlemont, Basile, Ogievetsky, Oleg
core   +5 more sources

Global stability and co-balancing numbers in a system of rational difference equations

Electronic Research Archive
This paper investigates both the local and global stability of a system of rational difference equations and its connection to co-balancing numbers.
Najmeddine Attia, Ahmed Ghezal
semanticscholar   +1 more source

Qualitative Behavior of Two Rational Difference Equations

Fundamental Journal of Mathematics and Applications, 2018
Obtaining the exact solutions of most rational recursive equations is sophisticated sometimes. Therefore, a considerable number of nonlinear difference equations is often investigated by studying the qualitative behavior of the governing forms of these ...
M. Almatrafi, E. Elsayed, F. Alzahrani
semanticscholar   +1 more source

Global Dynamical Properties of Rational Higher-Order System of Difference Equations

Discrete Dynamics in Nature and Society, 2020
In this paper, global dynamical properties of rational higher-order system are explored in the interior of ℝ+3. It is explored that under certain parametric conditions, the discrete-time system has at most eight equilibria. By the method of linearization,
A. Q. Khan, S. M. Qureshi
doaj   +1 more source

Stability Analysis and Periodictly Properties of a Class of Rational Difference Equations

MANAS: Journal of Engineering, 2022
The goal of this study is to investigate the global, local, and boundedness of the recursive sequenceT_{η+1}=r+((p₁T_{η-l₁})/(T_{η-m₁}))+((q₁T_{η-m₁})/(T_{η-l₁}))+((p₂T_{η-l₂})/(T_{η-m2}))+((q₂T_{η-m₂})/(T_{η-l₂}))+...+((p_{s}T_{η-l_{s}})/(T_{η-m_{s}}))+(
Elsayed Elsayed, Badriah Aloufi
doaj   +1 more source

On the solutions of some systems of rational difference equations

AIMS Mathematics
In this paper, we considered some systems of rational difference equations of higher order as follows \begin{document}$ \begin{eqnarray*} u_{n+1} & = &\frac{v_{n-6}}{1\pm v_{n}u_{n-1}v_{n-2}u_{n-3}v_{n-4}u_{n-5}v_{n-6}}, \\ v_{n+1} & = &\frac{u_{n-6 ...
M. Alharthi
semanticscholar   +1 more source

Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem

, 2004
A new approach to the analytic theory of difference equations with rational and elliptic coefficients is proposed. It is based on the construction of canonical meromorphic solutions which are analytical along "thick paths".
Krichever, I.
core   +1 more source

Rational Solutions of Difference Painlevé Equations

Tokyo Journal of Mathematics, 2012
The author captures all rational solutions of some difference Painlevé equations of PI and PII types. For non-autonomous cases it is shown that all rational solutions of the difference PII equations are generated by successive applications of auto-Bäcklund transformations to the seed solution vanishing identically, and that other equations of PI type ...
openaire   +3 more sources

A Group Theory Approach towards Some Rational Difference Equations

Journal of Mathematics, 2019
A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained.
Mensah Folly-Gbetoula, Nkosingiphile Mnguni, A. H. Kara   +2 more
doaj   +1 more source

Rational solutions of ordinary difference equations

Journal of Symbolic Computation, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Ruyong, Gao, Xiao-Shan, Huang, Zhenyu   +2 more
openaire   +2 more sources