Results 1 to 10 of about 1,614 (108)
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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Electronic Journal of Differential Equations, 2021 This article deals with half-linear dynamic equations that have two types of derivatives, and obtains sufficient conditions for all solutions to be non-oscillatory.
Kazuki Ishibashi
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Electronic Journal of Differential Equations, 2023 In this article, we investigate the relationship between growth and value distribution of meromorphic solutions for the higher-order complex linear difference equations $$ A_n(z)f(z+n)+\dots+A_1(z)f(z+1)+A_0(z)f(z)=0 \quad \text{and } =F(z), $$ and for ...
Yi Xin Luo, Xiu Min Zheng
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LINEAR DIFFERENCE EQUATIONS WITH TRANSITION POINTS [PDF]
Mathematics of Computation, 2004 Two linearly independent asymptotic solutions are constructed for the second-order linear difference equation y n
Zhen Wang, Roderick Wong
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Some finite difference methods for solving linear fractional KdV equation
Frontiers in Applied Mathematics and Statistics, 2023 The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions.
Appanah Rao Appadu, Abey Sherif Kelil
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Combinatorial Recurrences and Linear Difference Equations [PDF]
Electronic Notes in Discrete Mathematics, 2016 Peer ...
Jiménez Jiménez, María José +1 more
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Advances in Difference Equations, 2017 We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n )
Stevo Stević
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Linear $q$-Difference Equations
Zeitschrift für Analysis und ihre Anwendungen, 2007 We prove that a linear q -difference equation of order n has a fundamental set of n -linearly independent solutions. A
M.H. Abu Risha +3 more
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Some representations of the general solution to a difference equation of additive type
Advances in Difference Equations, 2019 The general solution to the difference equation xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0, $$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$ where a,b,c∈C $a, b, c\in\mathbb{C}$, d∈
Stevo Stević
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Linear even order homogenous difference equation with delay in coefficient
Electronic Journal of Qualitative Theory of Differential Equations, 2020 We use many classical results known for the self-adjoint second-order linear equation and extend them for a three-term even order linear equation with a delay applied to coefficients.
Jan Jekl
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