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Advances in Difference Equations
AxiomsThis editorial concerns the Special Issue of Axioms entitled “Advances in Difference Equations” [...]
Azhar Ali Zafar
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On Some Solvable Difference Equations and Systems of Difference Equations [PDF]
Abstract and Applied Analysis, 2012 Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.
Stevo Stević +3 more
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Asymptotic iteration method for solving Hahn difference equations. [PDF]
Adv Differ Equ, 2021 Hahn’s difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM).
MacQuarrie L, Saad N, Islam MS.
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Transformations of Difference Equations I [PDF]
Advances in Difference Equations, 2010 We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation.
Currie Sonja, Love AnneD
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Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
Mathematics, 2021 We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions
Gennadii V. Demidenko +1 more
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On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms
Mathematics, 2023 We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.
Lina N. Bondar, Gennadii V. Demidenko
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Mathematics, 2021 We consider a system of differential equations with two delays describing plankton–fish interaction. We analyze the case when the equilibrium point of this system corresponding to the presence of only phytoplankton and the absence of zooplankton and fish
Maria A. Skvortsova
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Z-transform solution for nonlinear difference equations
Al-Mustansiriyah Journal of Science, 2021 The aim of this paper is to study Z-transform to solve non-linear difference equations, after converting them to linear difference equations by one of the conversion methods.
Eman A. Hussain, Asmaa Salih Jasim
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An improvement of two nonstandard finite difference schemes for two population mathematical models [PDF]
, 2021 The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations.
Calatayud, Julia, Jornet, Marc
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On Some Solvable Systems of Some Rational Difference Equations of Third Order
Mathematics, 2023 Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero ...
Khalil S. Al-Basyouni +1 more
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