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On Some Solvable Difference Equations and Systems of Difference Equations
Published 2012-01-01“…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.…”
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Formulas of the solutions of a non-autonomous difference equation and two systems of difference equations
Published 2024-12-01Subjects: “…Difference equations and systems…”
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Solutions Of The Maximum Of Difference Equations
Published 2018-05-01Subjects: “…difference equation…”
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On a System of Difference Equations
Published 2013-01-01“…We have investigated the periodical solutions of the system of rational difference equations , and where .…”
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Dynamics of the rational difference equations
Published 2024-12-01“…We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. …”
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Solutions Of The Rational Difference Equations
Published 2018-05-01Subjects: “…difference equation…”
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Solutions of the Rational Difference Equations
Published 2018-12-01Subjects: “…difference equation…”
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Solutions Of The Maximum Of Difference Equations
Published 2017-05-01Subjects: “…difference equation…”
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On a Class of Solvable Difference Equations
Published 2013-01-01“…A class of difference equations which can be solved in closed form is presented in this paper. …”
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Solutions of the system ofmaximum difference equations
Published 2015-10-01Subjects: “…difference equation…”
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On Exponential Dichotomy of Variational Difference Equations
Published 2009-01-01“…The obtained results are applied to difference equations and also to linear skew-product flows.…”
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Solutions Of The System Of Maximum Difference Equations
Published 2015-05-01Subjects: “…difference equation…”
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Solutions of the System of Maximum Difference Equations
Published 2016-10-01Subjects: “…difference equation…”
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The Dynamics of the Solutions of Some Difference Equations
Published 2012-01-01“…This paper is devoted to investigate the global behavior of the following rational difference equation: yn+1=αyn-t/(β+γ∑i=0kyn-(2i+1)p∏i=0kyn-(2i+1)q), n=0,1,2,…, where α,β,γ,p,q∈(0,∞) and k,t∈{0,1,2,…} with the initial conditions x0, x-1,…, x-2k, x-2max {k,t}-1∈ (0,∞). …”
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On a Higher-Order Difference Equation
Published 2010-01-01“…We describe in an elegant and short way the behaviour of positive solutions of the higher-order difference equation xn=cxn−pxn−p−q/xn−q, n∈ℕ0, where p,q∈ℕ and c>0, extending some recent results in the literature.…”
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Fractional Difference Equations with Real Variable
Published 2012-01-01“…We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.…”
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Behavior of an Exponential System of Difference Equations
Published 2014-01-01“…We study the qualitative behavior of the following exponential system of rational difference equations: xn+1 = αe-yn+βe-yn-1/γ+αxn+βxn-1, yn+1 = α1e-xn+β1e-xn-1/γ1+α1yn+β1yn-1, n = 0,1,…, where α, β, γ, α1, β1, and γ1 and initial conditions x0, x-1, yo, and y-1 are positive real numbers. …”
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Classification of solutions of delay difference equations
Published 1994-01-01“…In this paper we study the classification of solutions of delay difference equation{?2yn=Pnyn-myn=An???for???n=N-(m+1),…,N-1where An,n=N-(m+1),…,N-1 are given, m is a nonnegative integer.…”
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