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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Analytical Solution to a Third-Order Rational Difference Equation
The Scientific World Journal, 2023 Inspired by some open conjectures in a rational dynamical system by G. Ladas and Palladino, in this paper, we consider the problem of solving a third-order difference equation. We comment the conjecture by Ladas.
Alvaro H. Salas S. +2 more
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Third order non-linear difference equation with neutral term [PDF]
E3S Web of Conferences, 2023 This paper aims to investigate the oscillatory characteristics of a neutral third order nonlinear difference equation. Utilizing the comparison principle, we get some new standards that guarantee that any solution to the neutral difference equation ...
Kaleeswari S., Rangasri S.
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On the oscillation of third order half-linear neutral type difference equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, the authors study the oscillatory properties of third order quasilinear neutral difference equation of the form $$\Delta(a_{n}(\Delta^{2}(x_{n} + p_{n}x_{n-\delta}))^{\alpha}) + q_{n} {x^{\alpha}_{n-\tau}} = 0,\quad n\geq 0, \tag{E ...
Ethiraju Thandapani +2 more
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Oscillation theorems for third order nonlinear delay difference equations [PDF]
Mathematica Bohemica, 2019 Sufficient conditions are obtained for the third order nonlinear delay difference equation of the form \Delta(a_n(\Delta(b_n(\Delta y_n)^{\alpha})))+q_nf(y_{\sigma(n)})=0 to have property ${(\rm A)}$ or to be oscillatory.
Kumar S. Vidhyaa +3 more
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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.
Došlá Zuzana, Kobza Aleš
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Stability of the third order rational difference equation
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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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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Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations [PDF]
Mathematica Bohemica, 2023 We study the oscillatory properties of the solutions of the third-order nonlinear semi-noncanonical delay difference equation D_3y(n)+f(n)y^\beta(\sigma(n))=0, where $D_3 y(n)=\Delta(b(n)\Delta(a(n)(\Delta y(n))^\alpha))$ is studied.
Govindasamy Ayyappan +3 more
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Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments [PDF]
Mathematica Bohemica, 2021 In this paper, we present several sufficient conditions for the existence of nonoscillatory solutions to the following third order neutral type difference equation \Delta^3(x_n+a_n x_{n-l} +b_n x_{n+m})+p_n x_{n-k} - q_n x_{n+r}=0,\quad n\geq n_0 ...
Srinivasan Selvarangam +3 more
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