Author: "GHAZEL, MALEK" / Publication Year Range: Last 10 years - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"GHAZEL, MALEK"' showing total 5 results

Start Over Author "GHAZEL, MALEK" Publication Year Range Last 10 years

Author: Kadhi, Fethi and Ghazel, Malek
Subjects: Mathematics - Dynamical Systems, 34K05, 34K13, 34K20, 39A10
Abstract: We obtain the solution of the fourth order difference equation $$ x_{n+1}=\frac{ \alpha x_{n-3}}{A+B x_{n-1}x_{n-3}}$$ with the initial conditions; $x_{-3}=d,$ $x_{-2}=c,$ $x_{-1}=b,$ and $x_{0}=a$ are arbitrary nonzero real numbers, $\alpha$, $A$ and $B$ are arbitrary constants. The result is used to study the convergence of solutions, the existence of unbounded solutions and the convergence to periodic solutions. We illustrate the results by several numerical examples., Comment: 14 pages
Published: 2018

Author: GHAZEL, MALEK, HASSAN, TAHER S., and MOSALLEM, AHMED M.
Subjects: *DIFFERENCE equations, *EQUATIONS, *REAL numbers, *COMPUTER simulation, *DIFFERENCE sets
Abstract: This paper is devoted to investigate the dynamics of the rational difference equation xn+1 =xn-1/A + Bxnxn-1 with arbitrary initial conditions A and B as nonzero real numbers. The solution is obtained and analytical study and asymptotic behavior are investigated. The forbidden set is determined. The existence of periodic and oscillatory solutions are discussed. Our results are illustrated with numerical simulations. [ABSTRACT FROM AUTHOR]
Published: 2019

Author: GHAZEL, MALEK, HASSAN, TAHER S., and MOSALLEM, AHMED M.
Subjects: *COMPUTER simulation, *RECURSIVE sequences (Mathematics), *REAL numbers, *REAL analysis (Mathematics), *PRIME numbers
Abstract: This paper is devoted to investigate the dynamics of the rational difference equation xn+1 =xn-1/A + Bxnxn-1 with arbitrary initial conditions A and B as nonzero real numbers. The solution is obtained and analytical study and asymptotic behavior are investigated. The forbidden set is determined. The existence of periodic and oscillatory solutions are discussed. Our results are illustrated with numerical simulations. [ABSTRACT FROM AUTHOR]
Published: 2019

Author: Elsayed, E. M., Ghazel, Malek, and Matouk, A. E.
Subjects: *NUMERICAL solutions to difference equations, *DIFFERENTIABLE dynamical systems, *STOCHASTIC convergence, *DEPENDENCE (Statistics), *EQUILIBRIUM
Abstract: This article is concerned with the following rational difference equation xn+1 = (βxn-3)/A+Bxn-1xn-3 with the initial conditions, x-3 = d, x-2 = c, x-1 = b, and x0 = a are arbitrary real numbers, β, A and B are arbitrary constants. A detailed analytical study of the convergence of the solutions including their dependence on parameters and initial conditions is investigated. The local stability and global attractivity of the difference equation's equilibrium points are discussed. The existence of periodic solutions in the proposed difference equation is also verified analytically. Moreover, numerical simulations are carried out to verify the correctness of the analytical results. [ABSTRACT FROM AUTHOR]
Published: 2017

Author: Elsayed, E. M., Ghazel, Malek, and Matouk, A. E.
Subjects: *DIFFERENCE equations, *REAL numbers, *ARBITRARY constants, *STOCHASTIC convergence, *COMPUTER simulation
Abstract: This article is concerned with the following rational difference equation xn+1 = βxn-3/A+Bxn-1xn-3 with the initial conditions, x-3 = d, x-2 = c, x-1 = b, and x0 = a are arbitrary real numbers, β, A and B are arbitrary constants. A detailed analytical study of the convergence of the solutions including their dependence on parameters and initial conditions is investigated. The local stability and global attractivity of the difference equation's equilibrium points are discussed. The existence of periodic solutions in the proposed difference equation is also verified analytically. Moreover, numerical simulations are carried out to verify the correctness of the analytical results. [ABSTRACT FROM AUTHOR]
Published: 2017

Books, media, physical & digital resources

Searchworks