Results 11 to 20 of about 121,814 (218)
On the oscillation of a third order rational difference equation
Journal of the Egyptian Mathematical Society, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. Abo-zeid
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Neimark-Sacker Bifurcation of a Third Order Difference Equation
Fundamental Journal of Mathematics and Applications, 2019 In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value.
M. Aloqeili, A. Shareef
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Oscillatory behavior of third order nonlinear difference equation with mixed neutral terms
, 2014 In this paper, we obtain some new sufficient conditions for the oscillation of all solutions of third order nonlinear neutral difference equation of the ...
E. Thandapani +2 more
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Global Behavior of Two Rational Third Order Difference Equations
, 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, Hamid Ali Kamal
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On third-order linear difference equations involving quasi-differences [PDF]
Advances in Difference Equations, 2006 We study the third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.
Do l Zuzana, Kobza Ale
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Linear Third-Order Difference Equations: Oscillatory and Asymptotic Behavior [PDF]
Rocky Mountain Journal of Mathematics, 1992 A point of contact of the graph of \(U = \{U_ n\}\) satisfying (1) \(\Delta^ 3U_ n + P_{n+1}\Delta U_{n+2} + Q_ nU_{n+2} = 0\), with the real axis is a node. A solution of (1) is said to be oscillatory if it has arbitrarily large nodes. It is proved that (1) always has an oscillatory solution.
B. Smith
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Global behavior of a third order rational difference equation [PDF]
Mathematica Bohemica, 2014 A third-order nonlinear difference equation of the form \[ x_{n+1}=\frac {ax_nx_{n-1}}{-bx_n+cx_{n-2}},\quad n\in \mathbb N_0,\tag{1} \] is considered, where \(a, b, c\) are positive constants. The forbidden set \(F\) for equation (1) is meant as a set of initial values \((x_{-2}, x_{-1}, x_0)\in \mathbb R^3\) such that its subsequent iteration under ...
R. Abo-zeid
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Oscillatory behavior of half-linear third order delay difference equations
Malaya Journal of Matematik, 2021 This paper deals with the oscillation criteria for the solutions of half-linear third order delay difference equations with non-canonical operators.
M. Nazreen Banu, S. Mehar Banu
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Global Dynamics of a Third-Order Rational Difference Equation
Karaelmas Science and Engineering Journal, 2018 In this paper, we will investigate the global dynamics of the following non-linear difference equation x(n+1)=Ax(n-2)/B+Cx(n)^p(1)x(n-1)^p(2) , where the parameters are non-negative numbers and the initial values are non-negative numbers.
M. Gümüş
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Dynamical behavior of a third-order rational fuzzy difference equation
, 2015 According to a generalization of division (g-division) of fuzzy numbers, this paper is concerned with the boundedness, persistence and global behavior of a positive fuzzy solution of the third-order rational fuzzy difference equation xn+1=A+xnxn−1xn−2 ...
Qianhong Zhang +2 more
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