Results 21 to 30 of about 121,814 (218)
On the Solutions of a System of Third-Order Rational Difference Equations [PDF]
Discrete Dynamics in Nature and Society, 2018 The structure of the solutions for the system nonlinear difference equations xn+1=ynyn-2/(xn-1+yn-2), yn+1=xnxn-2/(±yn-1±xn-2), n=0,1,…, is clarified in which the initial conditions x-2, x-1, x0, y-2, y-1, y0 are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
Abeer M. Alotaibi +2 more
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Explicit bounds for third-order difference equations [PDF]
The ANZIAM Journal, 2006 AbstractThis paper gives explicit, applicable bounds for solutions of a wide class of third-order difference equations with nonconstant coefficients. The techniques used are readily adaptable for higher-order equations. The results extend recent work of the authors for second-order equations.
Berenhaut, Kenneth S. +2 more
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TRANSFORMATION OF THE LINEAR DIFFERENCE EQUATION INTO A SYSTEM OF THE FIRST ORDER DIFFERENCE EQUATIONS [PDF]
Problems of Atomic Science and Technology, 2018 The transformation of the N-th-order linear difference equation into a system of the first order difference equations is presented. The proposed transformation opens possibility to obtain new forms of the N-dimensional system of the first order equations
M. Ayzatsky
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Bounded Solutions of Third Order Nonlinear Difference Equations
Rocky Mountain Journal of Mathematics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andruch-Sobiło, Anna +1 more
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Third Order Difference Methods for Hyperbolic Equations
, 1969 Shlomo Burstein, A.A. Mirin
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Dynamics of the third order Lyness' difference equation [PDF]
Journal of Difference Equations and Applications, 2007 46 pages.
Cima, Anna +2 more
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On Positive Solutions and Mann Iterative Schemes of a Third Order Difference Equation
, 2014 The existence of uncountably many positive solutions and convergence of the Mann iterative schemes for a third order nonlinear neutral delay difference equation are proved. Six examples are given to illustrate the results presented in this paper.
Zeqing Liu, Heng Wu, S. Kang, Y. Kwun
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BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 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. Hıncal
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Asymptotic behavior of third order delay difference equations with a negative middle term
, 2021 In this paper, we establish some sufficient conditions which ensure that the solutions of the third order delay difference equation with a negative middle term Δ ( a n Δ ( Δ w n ) α ) − p n ( Δ w n + 1 ) α − q n h ( w n − l ) = 0 , n ≥ n 0 , $$ \Delta ...
S. Saker +4 more
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Oscillation of third-order half-linear neutral difference equations [PDF]
Mathematica Bohemica, 2013 The authors give oscillation criteria for the nonlinear neutral difference equations of the third order, \[ \Delta \big ( a_n\,(\Delta ^2(x_n\pm b_nx_{n-\delta }))\big )^{\alpha }+q_n\,x_{n+1-\tau }^{\alpha }=0. \] These criteria present sufficient conditions for the oscillation of every (nontrivial) solution, or the limit of the solution as \(n\to ...
Thandapani, E., Selvarangam, S.
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