Results 11 to 20 of about 1,801,571 (229)
Stability of the third order rational difference equation [PDF]
MANAS: Journal of Engineering, 2020 In this paper, we examine the global stability and boundedness of the difference equation \[ x_{n+1}=\frac{\alpha x_{n}x_{n-1}+\beta x_{n}x_{n-2}}{\gamma {x}_{n-1}+\theta {x}_{n-2}}\]where the initial conditions are non zero real numbers and are ...
Mehmet Emre Erdoğan
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Oscillatory behavior of third order nonlinear difference equation with mixed neutral terms [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we obtain some new sufficient conditions for the oscillation of all solutions of the third order nonlinear neutral difference equation of the form \begin{equation*} \Delta^3 \left(x_n+b_n x_{n-\tau_{1}}+c_n x_{n+\tau_{2}}\right)^{\alpha} =
Ethiraju Thandapani +2 more
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Regarding the dynamics of a third order nonlinear difference equation [PDF]
Advances in Difference Equations, 2012 In this work, we study qualitative properties of the solutions of the following class of nonlinear third order difference ...
Atena Ghasemabadi, Reza Memarbashi
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Global asymptotic properties of third-order difference equations
Computers & Mathematics with Applications, 2004 The nonoscillatory solutions of \(\Delta(p_n\Delta(r_n\Delta x_n))+ q_n f(x_{n+p})= 0\), \(p\in \{0,1,2\}\), are classified under suitable conditions. In the case \(p= 1\) their generalized zeros and asymptotic properties are described by means of an energy function.
Zuzana Došlá, Aleš Kobza
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Asymptotic properties of solutions of third order difference equations
Applicable Analysis and Discrete Mathematics, 2020 We consider the difference equation of the form ?(rn?(pn?xn)) = anf (x?(n)) + bn. We present sufficient conditions under which, for a given solution y of the equation ?(rn?(pn?yn)) = 0, there exists a solution x of the nonlinear equation with the asymptotic behavior xn = yn + zn, where z is a sequence convergent to zero.
Janusz Migda +2 more
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Oscillatory criteria for Third-Order difference equation with impulses
Journal of Computational and Applied Mathematics, 2008 AbstractIn this paper, we investigate the oscillation of Third-order difference equation with impulses. Some sufficient conditions for the oscillatory behavior of the solutions of Third-order impulsive difference equations are obtained.
Qiaoluan Li +4 more
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Dynamics of the third order Lyness' difference equation [PDF]
, 2006 "Vegeu el resum a l'inici del document del fitxer adjunt".
Cimà, Anna +3 more
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THIRD ORDER DIFFERENCE METHODS FOR HYPERBOLIC EQUATIONS.
Journal of Computational Physics, 1969 Shlomo Burstein, A.A. Mirin
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On a system of difference equations of third order solved in closed form
Journal of Innovative Applied Mathematics and Computational Sciences, 2019 In this work, we show that the system of difference equationsxn+1=(ayn-2xn-1yn+bxn-1yn-2+cyn-2+d)/(yn-2xn-1yn),yn+1=(axn-2yn-1xn+byn-1xn-2+cxn-2+d)/(xn-2yn-1xn),where n belongs to the set of positive integer numbers, x-2, x-1, x0, y-2, y-1 and y0 are arbitrary nonzero real numbers, and the parameters a, b, c and d are arbitrary real numbers with d ...
Youssouf Akrour +2 more
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On a General Non-Linear Difference Equation of Third-Order
Turkish Journal of Mathematics and Computer ScienceIn this paper, we investigate the following general difference equations \begin{equation*} x_{n+1}=h^{-1}\left( h\left( x_{n}\right) \frac{Ah\left( x_{n-1}\right)+Bh\left( x_{n-2}\right) }{Ch\left( x_{n-1}\right)+Dh\left( x_{n-2}\right)}\right) ,\ n\in \mathbb{N}_{0}, \end{equation*} where the parameters $A, B, C, D$ and the initial values $x_{
Merve Kara
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