Results 31 to 40 of about 1,801,571 (229)
On the oscillation of certain third-order difference equations
Advances in Difference Equations, 2005 We establish some new criteria for the oscillation of third-order difference equations of the form Delta((1/a(2)(n))(Delta(1/a(1)(n))(Delta x(n))(alpha 1))(alpha 2)) + delta q(n)f(x[g(n)]) = 0, where Delta is the forward difference operator defined by Delta x(n) = x(n+1)-x(n).
Agarwal, Ravi P +2 more
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Disconjugacy for a third order linear difference equation
Computers & Mathematics with Applications, 1994 The third order linear difference equation (1) \(\Delta^ 3 y(t-1) + p(t) \Delta y(t) + q(t)y(t) = 0\) \((t \in \{a + 1, \dots, b + 1\})\) is considered. A function \(y : \{a, \dots, b + 3\} \to \mathbb{R}\) is said to have a generalized zero at \(a\) if \(y(a) = 0\) and it is said to have a generalized zero at \(t_ 0 > a\) provided either \(y(t_ 0) = 0\
Allan Peterson, Johnny Henderson
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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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On a Third Order Rational Systems of Difference Equations [PDF]
Annals of the Alexandru Ioan Cuza University - Mathematics, 2014 Abstract In this paper we investigate the form of the solutions of the following systems of difference equations of order three with a nonzero real numbers initial conditions.
N. Touafek, E.M. Elsayed
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Oscillation and Property B for Semi-Canonical Third-Order Advanced Difference Equations
Nonautonomous Dynamical Systems, 2022 In this paper, we present sufficient conditions for the third-order nonlinear advanced difference equations of the form Δ(a(n))Δ(b(n)Δy((n)))=p(n)f(y(σ(n)))\Delta \left( {a\left( n \right)} \right)\Delta \left( {b\left( n \right)\Delta y\left( {\left( n \
Chatzarakis G.E. +2 more
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Multiple big q-Jacobi polynomials [PDF]
Bulletin of Mathematical Sciences, 2020 Here, we investigate type II multiple big q-Jacobi orthogonal polynomials. We provide their explicit formulae in terms of basic hypergeometric series, raising and lowering operators, Rodrigues formulae, third-order q-difference equation, and we obtain ...
Fethi Bouzeffour, Mubariz Garayev
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Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 An initial-boundary value problem is studied for a multidimensional loaded parabolic equation of general form with boundary conditions of the third kind. For a numerical solution, a locally one-dimensional difference scheme by A.A.Samarskii with order of
Zaryana Beshtokova
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Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper the stability of the initial value problem for the third order partial delay differential equation with involution is investigated. The first order of accuracy absolute stable difference scheme for the solution of the differential problem ...
A. Ashyralyev, S. Ibrahim, E. Hincal
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Positive Solutions for a Third Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis, 2015 The existence, multiplicity, and properties of positive solutions for a third order nonlinear neutral delay difference equation are discussed. Six examples are given to illustrate the results presented in this paper.
Zeqing Liu +3 more
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Dynamical Behavior of a System of Third-Order Rational Difference Equation
Discrete Dynamics in Nature and Society, 2015 This paper deals with the boundedness, persistence, and global asymptotic stability of positive solution for a system of third-order rational difference equations xn+1=A+xn/yn-1yn-2, yn+1=A+yn/xn-1xn-2, n=0,1,…, where A∈(0,∞), x-i∈(0,∞); y-i∈(0,∞), i=0,1,
Qianhong Zhang +2 more
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