Results 21 to 30 of about 274,060 (275)
Matrix difference equations for the supersymmetric Lie algebra sl(2,1) and the `off-shell' Bethe ansatz [PDF]
, 2000 Based on the rational R-matrix of the supersymmetric sl(2,1) matrix difference equations are solved by means of a generalization of the nested algebraic Bethe ansatz. These solutions are shown to be of highest-weight with respect to the underlying graded
Babujian H +17 more
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Global Behavior of Two Rational Third Order Difference Equations
Universal Journal of Mathematics and Applications, 2019 In this paper, we solve and study the global behavior of all admissible solutions of the two difference equations $$x_{n+1}=\frac{x_{n}x_{n-2}}{x_{n-1}-x_{n-2}}, \quad n=0,1,...,$$ and $$x_{n+1}=\frac{x_{n}x_{n-2}}{-x_{n-1}+x_{n-2}}, \quad n=0,1 ...
R. Abo-zeid, H. Kamal
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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
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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
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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
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, 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.
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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 ...
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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 +2 more
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Rational solutions of ordinary difference equations
Journal of Symbolic Computation, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, Ruyong +2 more
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Solution for Rational Systems of Difference Equations of Order Three
Mathematics, 2016 In this paper, we consider the solution and periodicity of the following systems of difference equations: x n + 1 = y n − 2 − 1 + y n − 2 x n − 1 y n , y n + 1 = x n − 2 ± 1 ± x n − 2 y n − 1 x n
Mohamed M. El-Dessoky
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